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

EASY

Lower Secondary Stage 7

IMPORTANT

Earn 100

Find the volume of cuboid.

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

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 6

Write the value of $x$

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 6

Find the volume of the following compound shape if $x = 4 cm$ .

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 7

Find the volume of the following compound shape.

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 7

Find the volume of the following compound shape.

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 9

A metal cuboid has a length of $75 mm$ , a height of $4 mm$ and a volume of $1500 {mm}^{3}$ . What is the width of the cuboid?

HARD

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 11

The diagram shows a shape made from gold. The shape is melted and made into gold cubes. The side length of each cube is $12 mm$ . How many whole cubes can be made from this shape?

Question Image

Find the volume of cuboid.

Important Questions on Shapes, Area and Volume

Learn and Prepare for any exam you want !