Chapter 17: Chapter review
35 questions · with revealable worked answers
A 10 cm by 8 cm by 14 cm cuboid has how many faces, edges, and vertices?
Show answer and reasoning
Count six rectangular faces, twelve meeting segments and eight corner points.
A cuboid measures 4 cm by 2 cm by 6 cm. List the dimensions of its six faces, including repeated face sizes.
Show answer and reasoning
Opposite faces come in matching pairs, so there are two of each of the three face sizes.
A cuboid has side lengths 3 cm, 5 cm and 5 cm. Find the combined length of all twelve edges.
Show answer and reasoning
There are four of each dimension. Total = 4×(3+5+5)=52 cm.
A 12 cm by 8 cm by 7 cm cuboid has how many faces, edges, and vertices?
Show answer and reasoning
Count six rectangular faces, twelve meeting segments and eight corner points.
A cuboid measures 3 cm by 4 cm by 6 cm. List the dimensions of its six faces, including repeated face sizes.
Show answer and reasoning
Opposite faces come in matching pairs, so there are two of each of the three face sizes.
A cuboid has side lengths 6 cm, 6 cm and 8 cm. Find the combined length of all twelve edges.
Show answer and reasoning
There are four of each dimension. Total = 4×(6+6+8)=80 cm.
A 13 cm by 6 cm by 15 cm cuboid has how many faces, edges, and vertices?
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Count six rectangular faces, twelve meeting segments and eight corner points.
Draw one connected, foldable six-face net of a 6 cm by 5 cm by 2 cm cuboid. Label each face with its dimensions.
Show answer and reasoning
One valid arrangement uses a connected strip of four side faces, plus two matching end faces attached without overlap. Other foldable nets are also correct.
A cuboid has side lengths 6 cm, 7 cm and 8 cm. Find the combined length of all twelve edges.
Show answer and reasoning
There are four of each dimension. Total = 4×(6+7+8)=84 cm.
A 5 cm by 16 cm by 4 cm cuboid has how many faces, edges, and vertices?
Show answer and reasoning
Count six rectangular faces, twelve meeting segments and eight corner points.
Draw one connected, foldable six-face net of a 5 cm by 3 cm by 2 cm cuboid. Label each face with its dimensions.
Show answer and reasoning
One valid arrangement uses a connected strip of four side faces, plus two matching end faces attached without overlap. Other foldable nets are also correct.
A cuboid has side lengths 4 cm, 3 cm and 6 cm. Find the combined length of all twelve edges.
Show answer and reasoning
There are four of each dimension. Total = 4×(4+3+6)=52 cm.
A 12 cm by 3 cm by 10 cm cuboid has how many faces, edges, and vertices?
Show answer and reasoning
Count six rectangular faces, twelve meeting segments and eight corner points.
A cuboid measures 3 cm by 5 cm by 4 cm. List the dimensions of its six faces, including repeated face sizes.
Show answer and reasoning
Opposite faces come in matching pairs, so there are two of each of the three face sizes.
A cuboid has side lengths 3 cm, 4 cm and 8 cm. Find the combined length of all twelve edges.
Show answer and reasoning
There are four of each dimension. Total = 4×(3+4+8)=60 cm.
A 4 cm by 3 cm by 15 cm cuboid has how many faces, edges, and vertices?
Show answer and reasoning
Count six rectangular faces, twelve meeting segments and eight corner points.
A cuboid measures 4 cm by 3 cm by 6 cm. List the dimensions of its six faces, including repeated face sizes.
Show answer and reasoning
Opposite faces come in matching pairs, so there are two of each of the three face sizes.
A cuboid has side lengths 5 cm, 7 cm and 8 cm. Find the combined length of all twelve edges.
Show answer and reasoning
There are four of each dimension. Total = 4×(5+7+8)=80 cm.
A 15 cm by 11 cm by 5 cm cuboid has how many faces, edges, and vertices?
Show answer and reasoning
Count six rectangular faces, twelve meeting segments and eight corner points.
A cuboid measures 4 cm by 5 cm by 6 cm. List the dimensions of its six faces, including repeated face sizes.
Show answer and reasoning
Opposite faces come in matching pairs, so there are two of each of the three face sizes.
A cuboid has side lengths 5 cm, 8 cm and 4 cm. Find the combined length of all twelve edges.
Show answer and reasoning
There are four of each dimension. Total = 4×(5+8+4)=68 cm.
A 4 cm by 17 cm by 9 cm cuboid has how many faces, edges, and vertices?
Show answer and reasoning
Count six rectangular faces, twelve meeting segments and eight corner points.
A cuboid measures 5 cm by 2 cm by 3 cm. List the dimensions of its six faces, including repeated face sizes.
Show answer and reasoning
Opposite faces come in matching pairs, so there are two of each of the three face sizes.
A cuboid has side lengths 5 cm, 5 cm and 5 cm. Find the combined length of all twelve edges.
Show answer and reasoning
There are four of each dimension. Total = 4×(5+5+5)=60 cm.
A 10 cm by 3 cm by 21 cm cuboid has how many faces, edges, and vertices?
Show answer and reasoning
Count six rectangular faces, twelve meeting segments and eight corner points.
Draw one connected, foldable six-face net of a 4 cm by 3 cm by 6 cm cuboid. Label each face with its dimensions.
Show answer and reasoning
One valid arrangement uses a connected strip of four side faces, plus two matching end faces attached without overlap. Other foldable nets are also correct.
A cuboid has side lengths 3 cm, 5 cm and 7 cm. Find the combined length of all twelve edges.
Show answer and reasoning
There are four of each dimension. Total = 4×(3+5+7)=60 cm.
A 14 cm by 9 cm by 17 cm cuboid has how many faces, edges, and vertices?
Show answer and reasoning
Count six rectangular faces, twelve meeting segments and eight corner points.
A cuboid measures 3 cm by 4 cm by 2 cm. List the dimensions of its six faces, including repeated face sizes.
Show answer and reasoning
Opposite faces come in matching pairs, so there are two of each of the three face sizes.
A cuboid has side lengths 2 cm, 8 cm and 7 cm. Find the combined length of all twelve edges.
Show answer and reasoning
There are four of each dimension. Total = 4×(2+8+7)=68 cm.
A 3 cm by 16 cm by 17 cm cuboid has how many faces, edges, and vertices?
Show answer and reasoning
Count six rectangular faces, twelve meeting segments and eight corner points.
A cuboid measures 2 cm by 6 cm by 3 cm. List the dimensions of its six faces, including repeated face sizes.
Show answer and reasoning
Opposite faces come in matching pairs, so there are two of each of the three face sizes.
A 9 cm by 16 cm by 16 cm cuboid has how many faces, edges, and vertices? Explain or sketch the mathematical relationship.
Show answer and reasoning
Count six rectangular faces, twelve meeting segments and eight corner points. State which quantities or geometric properties justify the method.
A learner draws six correct rectangles for a 4×6×3 cuboid but leaves them as six unconnected pieces. Is that a complete net? Explain.
Show answer and reasoning
Matching face sizes are necessary but not sufficient: a net is a connected planar arrangement that folds into the cuboid.
A cuboid has side lengths 5 cm, 7 cm and 4 cm. Find the combined length of all twelve edges. Explain or sketch the mathematical relationship.
Show answer and reasoning
There are four of each dimension. Total = 4×(5+7+4)=64 cm. State which quantities or geometric properties justify the method.