Question

a and b are two similar solids. a has a height of 10cm and b has a height of 15cm. the volume of a is 400cm cubed. work out the volume of b.

Answer 1

Answer:

90

Step-by-step explanation:

Solid A: Height 10 cm, Width x Depth = 400 ÷ 10 = 40 cm

Solid B: Height 15 cm

Similar: each side the same ratio

15/10 = 3/2

Each side of B is always 3/2 the side of A.

Width of A = w

Depth of A = d

Width of B = 3w/2

Depth of B = 3d/2

Width x Depth of B: 9wd/4

wd = Width x Depth of A = 40 cm

(9 * 40)/4 = 360/4 = 90.

90 * 15 = 1350