Question

Work out the volume of this prism. Write your answer

a in cm?
120cm
30cm
20 cm

Answer 1

24,000 cm³

Explanation:

Answer 2

V = 48000 cm³

Explanation:

The volume (V) of the prism is calculated as

V = area of end face × length

The end face is a trapezium with area (A) calculated as

A =
`(1)/(2)` h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 20 , b₁ = 10 and b₂ = 30 , then

A =
`(1)/(2)` × 20 × (10 + 30) = 10 × 40 = 400 cm²

Thus

V = 400 × 120 = 48000 cm³