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3 years ago

13

The formula for the volume of a right square pyramid is given below, where a is the side length of the base and h is the height.

Rewrite the formula by solving for a. v= 1/3 a^2h

1 answer:

stira [4]3 years ago

5 0

If it’s v=1/3 *( a^2) * h

Divide both sides by (1/3)*h
v/(1/3*h) = a^2
Or
3v/h = a^2

Square root both sides

Sqrt(3v/h) = a

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Answer:

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3 years ago

Read 2 more answers

Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin

vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

$F =450N$

$x_1 = 30cm$

$x_2 = 60cm$

Required

The work done

First, we calculate the spring constant (k)

$F = kx_1$

$450N = k *30cm$

$k = \frac{450N}{30cm}$

$k =15N/cm$

So:

$F = kx_1$

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The work done using Hooke's law is:

$W =\int\limits^a_b {F(x)} \, dx$

This gives:

$W =\int\limits^{60}_{30} {15x} \, dx$

Rewrite as:

$W =15\int\limits^{60}_{30} {x} \, dx$

Integrate

$W =15 \frac{x^2}{2}|\limits^{60}_{30}$

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