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Debora [2.8K]
3 years ago
11

A rectangular prism with a square base has a volume of 980 inches. If the height of this rectangular prism is 5 inches, what are

the dimensions of its base?
Mathematics
2 answers:
ehidna [41]3 years ago
8 0

Answer:

980 in

Step-by-step explanation:

just olya [345]3 years ago
6 0

Answer:

14 inches

Step-by-step explanation:

Since the rectangular prism has a square base, we know that the width and length are equal.

Using the formula for calculating the volume of a rectangular prism, we can set up an equation:

(width^2)*height = 980 cubic inches or

(width^2)*5 in. = 980 cubic inches, simplify the equation by dividing each side by 5 inches, and the result is:

width^2 = 196 sq.in., simply by taking the square root of each side of the equation, and the result is:

√width (inches) = √196 square inches = width = 14 inches

each side of the prism's base is 14 inches

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C) The ratio between an exterior angle and an interior angle of a polygon is 1:5.
Bingel [31]

Answer:

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Step-by-step explanation:

The sum of the exterior angle and the interior angle = 180°

sum the parts of the ratio, 1 + 5 = 6 parts

Divide 180° by 6 to find the value of one part of the ratio

180° ÷ 6 = 30° ← value of 1 part of the ratio

(i)

The exterior angle = 30°

(ii)

The sum of the exterior angles of a polygon is 360°

To find the number of sides n divide 360 by 30 , that is

n = 360 ÷ 30 = 12

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Step-by-step explanation:

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3 0
2 years ago
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What is the volume of the prism?
kkurt [141]
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