This is part of Steph's homework Question: A cuboid has a length of 12 c m , a width of 9 c m and a height of 35 m m . What is the volume of the cuboid? Solution : Volume = 12 × 9 × 35 = 3780 c m 3 Steph has got the solution incorrect. Explain the mistake that Steph has made and work out the correct answer.

The amount of space occupied by a three-dimensional object or region of space. Volumes are expressed in cubic units. Steph's solution is incorrect because to find volume , units of measure of all sides should be equal . But in the given question units are not same. 1 c m = 10 m m So, l e n g t h = 12 c m , w i d t h = 9 c m and h e i g h t = 35 m m = 35 10 = 3 . 5 c m Volume of cuboid = l e n g t h × w i d t h × h e i g h t = 12 × 9 × 3 . 5 = 378 c m 3 Thus, the volume of cuboid is 378 c m 3

The table shows the length , width and height of four cuboids . Complete the table. Length Width Height Volume a 5 c m 12 m m 6 m m _____ m m 3 b 12 c m 8 c m 4 m m _____ c m 3 c 8 m 6 m 90 c m _____ m 3 d 1 . 2 m 60 c m 25 c m _____ c m 3

The amount of space occupied by a three-dimensional object or region of space. Volumes are expressed in cubic units. Units should be same to find the volume. 1 m = 100 c m and 1 c m = 10 m m Given, ( a ) length = 5 c m = 50 m m , width = 12 m m , height = 6 m m Volume of cuboid = l e n g t h × w i d t h × h e i g h t = 50 × 12 × 6 = 3600 m m 3 ( b ) length = 12 c m , width = 8 c m , height = 4 m m = 0 . 4 c m Volume of cuboid = l e n g t h × w i d t h × h e i g h t = 12 × 8 × 0 . 4 = 38 . 4 c m 3 ( c ) length = 8 m , width = 6 m , height = 90 c m = 0 . 9 m Volume of cuboid = l e n g t h × w i d t h × h e i g h t = 8 × 6 × 0 . 9 = 43 . 2 c m 3 ( d ) length = 1 . 2 m = 120 c m , width = 60 c m , height = 25 c m Volume of cuboid = l e n g t h × w i d t h × h e i g h t = 120 × 60 × 25 = 180000 c m 3 Length Width Height Volume a 5 c m 12 m m 6 m m 3600 m m 3 b 12 c m 8 c m 4 m m 38 . 4 c m 3 c 8 m 6 m 90 c m 43 . 2 m 3 d 1 . 2 m 60 c m 25 c m 180000 c m 3

The amount of space occupied by a three-dimensional object or region of space. Volumes are expressed in cubic units. In the given figure , top part is the shape of cube. In a cube length, breadth and height are equal. Thus, the value of x is 5 c m

E M B I B E

Cambridge Lower Secondary Mathematics Learner's Book 7 Second Edition Digital Access>Chapter 15 - Shapes, Area and Volume>Exercise 15.4>Q 1

EASY

Lower Secondary Stage 7

IMPORTANT

Earn 100

Find the volume of given cube.

Important Questions on Shapes, Area and Volume

EASY

Lower Secondary Stage 7

IMPORTANT

Cambridge Lower Secondary Mathematics Learner's Book 7 Second Edition Digital Access>Chapter 15 - Shapes, Area and Volume>Exercise 15.4>Q 2

Find the volume of cuboid.

Question Image

EASY

Lower Secondary Stage 7

IMPORTANT

Cambridge Lower Secondary Mathematics Learner's Book 7 Second Edition Digital Access>Chapter 15 - Shapes, Area and Volume>Exercise 15.4>Q 2

Find the volume of cuboid.

Question Image

EASY

Lower Secondary Stage 7

IMPORTANT

Cambridge Lower Secondary Mathematics Learner's Book 7 Second Edition Digital Access>Chapter 15 - Shapes, Area and Volume>Exercise 15.4>Q 3

Find the volume of cuboid.

Question Image

EASY

Lower Secondary Stage 7

IMPORTANT

Cambridge Lower Secondary Mathematics Learner's Book 7 Second Edition Digital Access>Chapter 15 - Shapes, Area and Volume>Exercise 15.4>Q 3

Find the volume of cuboid.

Question Image

EASY

Lower Secondary Stage 7

IMPORTANT

Cambridge Lower Secondary Mathematics Learner's Book 7 Second Edition Digital Access>Chapter 15 - Shapes, Area and Volume>Exercise 15.4>Q 3

Find the volume of cuboid.

Question Image

EASY

Lower Secondary Stage 7

IMPORTANT

Cambridge Lower Secondary Mathematics Learner's Book 7 Second Edition Digital Access>Chapter 15 - Shapes, Area and Volume>Exercise 15.4>Q 4

This is part of Steph's homework

Question: A cuboid has a length of $12 c m$ , a width of $9 c m$ and a height of $35 m m .$ What is the volume of the cuboid?

Solution : Volume $= 12 \times 9 \times 35 = 3780 c m^{3}$

Steph has got the solution incorrect. Explain the mistake that Steph has made and work out the correct answer.

EASY

Lower Secondary Stage 7

IMPORTANT

Cambridge Lower Secondary Mathematics Learner's Book 7 Second Edition Digital Access>Chapter 15 - Shapes, Area and Volume>Exercise 15.4>Q 5

The table shows the length , width and height of four cuboids . Complete the table.

	Length	Width	Height	Volume
$a$	$5 c m$	$12 m m$	$6 m m$	_____ $m m^{3}$
$b$	$12 c m$	$8 c m$	$4 m m$	_____ $c m^{3}$
$c$	$8 m$	$6 m$	$90 c m$	_____ $m^{3}$
$d$	$1.2 m$	$60 c m$	$25 c m$	_____ $c m^{3}$