Question

The size of Box Y is given in the diagram.
Diagram of two boxes. Box Y has width 3 cm, length 4 cm and height 2 cm. Box Z has length 4 cm, width 2 cm and its height is unknown. Question prompt
How high is Box Z if it has 3 times the volume of Box Y?

Answer 1

Answer:

9 cm.

Step-by-step explanation:

BOX Y

Length 4 cm.

Breadth 3 cm.

Height 2 cm.

Volume = length * breadth * height

volume of box Y = 4*3*2 = 24 cm. cube

BOX Z :-

length = 4cm.

Breadth = 2 cm

let height = X cm.

Volume of BOX Z = 4*2*x = 8x cm. cube

since, volume of box Z is 3 times the volume of box Y.

3* (24) = 8x

8x = 72

x = 9

height of box Z = 9 cm.