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Which right triangular prism has the greatest volume?

Which right triangular prism has the greatest volume?-example-1
Which right triangular prism has the greatest volume?-example-1
Which right triangular prism has the greatest volume?-example-2
Which right triangular prism has the greatest volume?-example-3
Which right triangular prism has the greatest volume?-example-4
User Ecarrion
by
7.5k points

2 Answers

5 votes
the last one is the answer

User Numerator
by
7.9k points
7 votes

Answer:

So Prism D has the greatest volume.

Explanation:

Since volume of a triangular prism = A × h

where A = Area of base of prism

h = height

For prism (A) ⇒ Volume = ( 6 × 7 ) × 9

= 42 × 9 = 378m³

Prism (B) ⇒ Volume = ( 5 × 6 ) × 13

= 30 × 13 = 390m³

Prism (C) ⇒ Volume = ( 11 × 8 ) × 8

= 88 × 8 = 704m³

Prism (D) ⇒ Volume = ( 10 × 8 ) × 9

= 80 × 9 = 720m³

So prism D has the maximum volume.

User Nazila
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