help w math?

2016-06-20 6:21 am
更新1:

A right prism with rhombus bases is shown. The side length of each rhombus is 5 units. The height of the prism is 16 units. The diagonals of each rhombus measure 6 and 8 units. What is the volume of the prism? 192 cubic units 200 cubic units 384 cubic units 400 cubic units

回答 (3)

2016-06-20 6:38 am
Base area
= (1/2) × 6 × 8 square units
= 24 square units

Height of the prism
= (Base area) × (Height)
= 24 × 16 cubic units
= 384 cubic units

...... The answer is : 384 cubic units
For all right prisms:

V = B * h

B = area of base.

The area of a rhombus is equal to one-half of the product of its diagonals

(1/2) * 6 * 8 = 3 * 8 = 24

24 * 16 = 384


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