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Rufina [12.5K]
3 years ago
7

Find the volume of a square pyramid with a base area of 18 in.² and a height of 6 in

Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0

ANSWER

36 cubic inches.

EXPLANATION

The volume of a square pyramid is calculated using the formula:

V =  \frac{1}{3}  {l}^{2}  \times h

where l² is the area of the base and h= 6 inches is the height of the square pyramid.

We substitute the values into the formula to get,

V =  \frac{1}{3} \times  18 \times 6 \:  {in}^{3}

We simplify to get:

V =  6 \times 6  =3 6 {in}^{3}

Therefore the volume of the square pyramid is 36 cubic inches.

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Step-by-step explanation:

Step 1: <u>Define/explain.</u>

An easier way to solve this is by changing the mixed fractions to improper fractions.

To do this, multiply the whole number by the denominator, then add the product to the numerator; the denominator remains the same.

Mixed fraction - a fraction with a whole number.

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Step 2: <u>Solve.</u>

8\frac{3}{5} =\frac{43}{5}

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From here, add as usual.

\frac{43}{5} +\frac{24}{5} =\frac{67}{5}

Step 3: <u>Conclude.</u>

You can change the improper fraction to a mixed fraction if you'd like.

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The amount of times the numerator evenly goes into the denominator is the whole number.

The amount of remaining numbers in the denominator.

The numerator remains the same.

\frac{67}{5} =13\frac{2}{5}

I, therefore, believe the answer to this is 13 2/5.

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