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3 years ago

If the volume of the pyramid shown is 360 inches cubed, what is its height?

Mathematics

1 answer:

dimaraw [331]3 years ago

4 0

Answer:

9 inches

Step-by-step explanation:

The formula for the volume of a rectangular pyramid is $V = \frac{1}{3}(l*w*h)$

Here we have volume (V), base (L), and width (W)
V = 360 in³, L = 12 in, W = 10 in

We need to manipulate the volume equation to solve for the height (H)

First we need to multiply both sides by 3 to get rid of the fraction: 3V = L×W×H
Then we need to divide both sides by (L×W) to get: $\frac{3V}{lw} =h$

Now we can plug in the given values:

$\frac{3(360in^{3}) }{(12 in)(10in)} =\frac{1080in^{3} }{120in^{2} } = 9in$
The height is 9 inches

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Answer:

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3 years ago

Lincoln saves 40% of every paycheck. His paycheck last week was $660. How much did Lincoln save last week?

sergejj [24]

Take the whole and multiply it by the percentage

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2 years ago

QUESTION 1 1 POINT<br> Factor: 27m3<br> 64.<br> Provide your answer below:<br> Content attribution

pickupchik [31]

Answer:

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Hope I helped!

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3 years ago

It took francisco 60 minutes to walk from his house to his grandmother’s house. what is 60 written as a product of factors great

Tanzania [10]

Answer:

2 × 2 × 3 × 5

Step-by-step explanation:

Given that,

The number = 60

To find,

Factors of 60 greater than 1 = ?

Procedure:

As we know,

Any of various numbers multiplied together to form a whole.

To find the factors of a number, we will have to do its prime factorization.

So,

The prime factorization of 60:

1 * 2 * 2 * 3 * 5 = 60

Since the factors greater than 1 are asked, the factors would be;

2 * 2 * 3 * 5

Thus, 2 * 2 * 3 * 5 is the correct answer.

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2 years ago

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stich3 [128]

Answer:

In the division problem,

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While, the number which divides, is called divisor,

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Divisor = 15 ( a number between 10 and 12 ),

So, the problem would be,

$150\div 15$

In the below figure,

Take a grid that shows 150,

Divide this grid such that each box represents 15,

Thus, there are such 10 boxes,

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$150\div 15 = 10$

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2 years ago

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