Question

A block of cheese is in the shape of a triangular prism. The dimensions are shown in the diagram.

The volume of the cheese is 969 cubic centimeters. What is h, the right of the block of cheese in centimeters?

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Answer 1

the height of the right triangle face of the cheese block is 17 centimeters.

Explanation:

We can use the formula for the volume of a triangular prism to solve for h:

Volume = (1/2) × base × height × length

where the base is the length of the triangle, the height is the height of the triangle, and the length is the length of the prism.

We know that the volume of the cheese is 969 cubic centimeters, so we can substitute the given values into the formula:

969 = (1/2) × 12 × 9 × h

Multiplying both sides by 2, we get:

1938 = 12 × 9 × h

Dividing both sides by (12 × 9), we get:

h = 1938 ÷ (12 × 9) = 17

Therefore, the height of the right triangle face of the cheese block is 17 centimeters.