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Finger [1]
3 years ago
6

What is the height of a triangular base of a paperweight with a volume of 96 cubic inches, length is 8 in and with is 6 inches?

Mathematics
1 answer:
castortr0y [4]3 years ago
7 0

Answer:

4 inches

Step-by-step explanation:

<u>Triangular prism formulas</u>

Volume = 0.5 * b * h * length, where b is the length of the base of the triangle, h is the height of the triangle and length is prism length. area = length * (a + b + c) + (2 * base_area) , where a, b, c are sides of the triangle and base_area is the triangular base area.

<u />

<u>How to find the height of a triangle - formulas</u>

area = b * l / 2, where b is a base, l - length.

so l = 2 * area / b/w-width.

<u>Solve</u>

1/2 x 6 x 8 x ? = 96

2 x 96 = 192

192/8 = 24

24/6 = 4

length = 4 inches

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