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iren [92.7K]
3 years ago
10

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

Mathematics
2 answers:
Levart [38]3 years ago
8 0

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 = \frac{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 = \frac{1}{2} × 20 × (10 + 30) = 10 × 40 = 400 cm²

Thus

V = 400 × 120 = 48000 cm³

Tom [10]3 years ago
5 0

Answer:

24,000 cm³

Step-by-step explanation:

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