Question

Find the volume of the right prism with a rhombus base.

Answer 1

i think the answer is 150m³

Answer 2

150 m³

Explanation:

Formula

Area of a rhombus = (a · b) ÷ 2

(where a and b are the diagonals)

Given:

• a = 10 m
• b = 3 m

⇒ Area of the rhombus = (10 · 3) ÷ 2

= 30 ÷ 2

= 15 m²

Formula

Volume of a right prism = area of the base × length

Given:

• area of the base = 15 m²
• length = 10 m

⇒ Volume of the right prism = 15 × 10

= 150 m³