Mathematics, 25.01.2021 18:40 20lap01

What is the total volume of all four lockers if one side of a locker is 2 feet long?

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Answer from: kdndiamond9101

To solve the problem we will calculate the volume of a single locker first.

The volume of the 4 lockers is equal to 32 ft³.

Given to us

one side of a locker is 2 feet long

Assumpting that the locker is of cube shape.

Length of the side of a Locker

As it is given that the side of the locker is 2 feet long, and we know that all the sides of a cube are of the same length, therefore, the length of the side of the cube is 2 feet.

What is the volume of the Locker?

We know that the shape of the locker is cubic in nature, therefore,

The volume of the locker = Volume of the Cube

= (Side of the cube)³

= (2)³ = 8 ft³

Thus, the volume of a cubic locker is 8 ft³.

What is the volume of 4 such lockers?

We have already calculated the volume of a locker, therefore, the volume of 4 such lockers will be 4 times the volume of a locker,

The volume of 4 lockers = 4 x volume of a lockers

= 4 x 8 ft³

= 32 ft³

Hence, the volume of the 4 lockers is equal to 32 ft³.

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Answer from: zoeedadoll

32ft³

Step-by-step explanation:

Let the shape of the locker be cubic in nature.

Volume of a cube = L³

L is the side length of one of the lockers

Volume of four lockers = 4L³

If one side of the locker is 2feet long, then L = 2ft

Substitute into the formula;

Volume of four lockers = 4(2)³

Volume of four lockers = 4(8)

Volume of four lockers = 32ft³

Hence the total volume of all four lockers is 32ft³

Answer from: Quest

answer: options?

step-by-step explanation:

Answer from: Quest

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation:

$\newline{\text{the rate of change is change per unit time}}$ $\newline{\text{for (x,y), rate of change is }\frac{y_2-y_1}{x_2-x_1} \text{ or change in y divided by change in x}}$ $\newline{\text{for function 1, the cost goes up by 75-45=30 each time every hour}}$ $\newline{\text{that means that the slope of function 1 is 30 per hour}}$ $\newline{\text{for the 2nd function, 40 is added every hour. therefor, the slope is 40 per hour}}$ $\bigskip\newline{\text{since 40 per hour> 30 per hour, function 2 has a greater rate of change than function 1}}$ $\bigskip\newline{\text{the y intercept is the y value when x is 0}}$ $\newline{\text{for function 1, the y value when x is 0 is 45}}$ $\newline{\text{for function 2, the y value when x is 0 (or the flat rate) is 50}}$ $\newline{\text{since 50> 45, function 2 has a greater y intercept than funciton 1}}$ $\bigskip\bigskip\newline{\text{the answers are: }}$ $\newline{\text{ function 2 has a greater rate of change than function 1}}$ $\newline{\text{function 2 has a greater y-intercept than function 1.}}$

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