Answered

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Work out the volume of this prism. Write your answer
a in cm?
120cm
30cm
20 cm

Work Out The Volume Of This Prism Write Your Answer A In Cm 120cm 30cm 20 Cm class=

Sagot :

cmckee660

Answer:

24,000 cm³

Step-by-step explanation:

Answer:

V = 48000 cm³

Step-by-step 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 = [tex]\frac{1}{2}[/tex] 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 = [tex]\frac{1}{2}[/tex] × 20 × (10 + 30) = 10 × 40 = 400 cm²

Thus

V = 400 × 120 = 48000 cm³

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