Curriculum›4B›Chapter 17

Chapter 17 — Practice 1

18 original mixed questions

Practice earlier ideas together. Check answers only after you have completed an attempt.

Question 1 · reasoning

A 15 cm by 12 cm by 7 cm cuboid has how many faces, edges, and vertices?

Show answer and reasoning
6 faces, 12 edges, 8 vertices

Count six rectangular faces, twelve meeting segments and eight corner points.

Question 2 · net

A cuboid measures 2 cm by 5 cm by 3 cm. List the dimensions of its six faces, including repeated face sizes.

Show answer and reasoning
Two 2×5 faces, two 2×3 faces, two 5×3 faces

Opposite faces come in matching pairs, so there are two of each of the three face sizes.

2×35×32×35×32×52×5
Question 3 · edges

A cuboid has side lengths 7 cm, 6 cm and 7 cm. Find the combined length of all twelve edges.

Show answer and reasoning
80 cm

There are four of each dimension. Total = 4×(7+6+7)=80 cm.

Question 4 · reasoning

A 4 cm by 6 cm by 13 cm cuboid has how many faces, edges, and vertices?

Show answer and reasoning
6 faces, 12 edges, 8 vertices

Count six rectangular faces, twelve meeting segments and eight corner points.

Question 5 · net

A cuboid measures 3 cm by 2 cm by 4 cm. List the dimensions of its six faces, including repeated face sizes.

Show answer and reasoning
Two 3×2 faces, two 3×4 faces, two 2×4 faces

Opposite faces come in matching pairs, so there are two of each of the three face sizes.

3×42×43×42×43×23×2
Question 6 · edges

A cuboid has side lengths 4 cm, 6 cm and 9 cm. Find the combined length of all twelve edges.

Show answer and reasoning
76 cm

There are four of each dimension. Total = 4×(4+6+9)=76 cm.

Question 7 · reasoning

A 13 cm by 15 cm by 6 cm cuboid has how many faces, edges, and vertices?

Show answer and reasoning
6 faces, 12 edges, 8 vertices

Count six rectangular faces, twelve meeting segments and eight corner points.

Question 8 · net

A cuboid measures 4 cm by 2 cm by 5 cm. List the dimensions of its six faces, including repeated face sizes.

Show answer and reasoning
Two 4×2 faces, two 4×5 faces, two 2×5 faces

Opposite faces come in matching pairs, so there are two of each of the three face sizes.

4×52×54×52×54×24×2
Question 9 · edges

A cuboid has side lengths 3 cm, 6 cm and 4 cm. Find the combined length of all twelve edges.

Show answer and reasoning
52 cm

There are four of each dimension. Total = 4×(3+6+4)=52 cm.

Question 10 · reasoning

A 12 cm by 18 cm by 6 cm cuboid has how many faces, edges, and vertices?

Show answer and reasoning
6 faces, 12 edges, 8 vertices

Count six rectangular faces, twelve meeting segments and eight corner points.

Question 11 · net

A cuboid measures 5 cm by 6 cm by 3 cm. List the dimensions of its six faces, including repeated face sizes.

Show answer and reasoning
Two 5×6 faces, two 5×3 faces, two 6×3 faces

Opposite faces come in matching pairs, so there are two of each of the three face sizes.

5×36×35×36×35×65×6
Question 12 · edges

A cuboid has side lengths 5 cm, 6 cm and 4 cm. Find the combined length of all twelve edges.

Show answer and reasoning
60 cm

There are four of each dimension. Total = 4×(5+6+4)=60 cm.

Question 13 · reasoning

A 15 cm by 3 cm by 16 cm cuboid has how many faces, edges, and vertices?

Show answer and reasoning
6 faces, 12 edges, 8 vertices

Count six rectangular faces, twelve meeting segments and eight corner points.

Question 14 · net

A cuboid measures 2 cm by 6 cm by 5 cm. List the dimensions of its six faces, including repeated face sizes.

Show answer and reasoning
Two 2×6 faces, two 2×5 faces, two 6×5 faces

Opposite faces come in matching pairs, so there are two of each of the three face sizes.

2×56×52×56×52×62×6
Question 15 · edges

A cuboid has side lengths 6 cm, 3 cm and 5 cm. Find the combined length of all twelve edges.

Show answer and reasoning
56 cm

There are four of each dimension. Total = 4×(6+3+5)=56 cm.

Question 16 · reasoning

A 2 cm by 3 cm by 9 cm cuboid has how many faces, edges, and vertices?

Show answer and reasoning
6 faces, 12 edges, 8 vertices

Count six rectangular faces, twelve meeting segments and eight corner points.

Question 17 · net

A cuboid measures 3 cm by 6 cm by 5 cm. List the dimensions of its six faces, including repeated face sizes.

Show answer and reasoning
Two 3×6 faces, two 3×5 faces, two 6×5 faces

Opposite faces come in matching pairs, so there are two of each of the three face sizes.

3×56×53×56×53×63×6
Question 18 · edges

A cuboid has side lengths 4 cm, 8 cm and 7 cm. Find the combined length of all twelve edges.

Show answer and reasoning
76 cm

There are four of each dimension. Total = 4×(4+8+7)=76 cm.