A prism of height 12" has a rhombus with diagonals 6" and 8" for a base. Find the volume?
240 cu. in, 288 cu. in, 576 cu. In

Solution:

The formula to find the volume of a prism is

V = B . h

Where B is the base area

h is the height of the prism

The formula to find the area of a rhombus is

A = ½ d₁. d₂

Where d₁ and d₂ are the diagonals of the rhombus

According to the statement

A prism of height 12" has a rhombus with diagonals 6" and 8" for a base

d₁ = 6’’, d₂ = 8’’, h = 12’’

Area of a rhombus B = ½ × 6 × 8 = 24 square inches

Substitute the value in the formula of a prism

V = 24 × 12

V = 288 cubic inches

Therefore, the volume of the prism is 288 cubic inches.

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A prism of height 12" has a rhombus with diagonals 6" and 8" for a base. Find the volume?
240 cu. in, 288 cu. in, 576 cu. In

Summary:

A prism of height 12" has a rhombus with diagonals 6" and 8" for a base. The volume is 288 cubic inches.