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olga_2 [115]
4 years ago
14

Cole has a rectangular prism that measures 4in by 5 inches by 6 inches. He says by changing 1 dimension he can make a prism of 2

40 inches. What are the 3 ways he can do this?
Mathematics
1 answer:
yKpoI14uk [10]4 years ago
6 0

Answer:

First way: change in the 4 in dimension to 8 in

Second way: change in the 5 in dimension to 10 in

Third way: change in the 6 in dimension to 12 in

Step-by-step explanation:

The volume of a rectangular prism can be calculated by multiplying all the 3 dimensions:

Volume = 4 * 5 * 6 = 120 in3

To make a prism of 240 inches changing 1 dimension, Cole can choose any of the three dimensions to change.

First way: change in the 4 inches dimension:

Volume = x * 5 * 6 = 240

x = 8 inches

Second way: change in the 5 inches dimension:

Volume = 4 * x * 6 = 240

x = 10 inches

Third way: change in the 6 inches dimension:

Volume = 4 * 5 * x = 240

x = 12 inches

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For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 10 N acts on
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Answer:

The force is 12 N

Step-by-step explanation:

* Lets explain how to solve the problem

- Direct variation is a relationship between two variables that can

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∵ The force is F in newtons and a is the acceleration is m/s²

∴ F ∝ a

∴ F = ka

- To find k substitute F and a by the initial values of them

∵ A force of 10 N acts on a certain object, the acceleration of the

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∵ F = 10 N when a = 5 m/s²

∵ F = ka

∴ 10 = k(5)

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5 0
3 years ago
What are the coordinates of the midpoint of the segment whose endpoints are A(−1, 9) and B(3, 8) ? Answer in decimals
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Alenkasestr [34]

Answer:

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Step-by-step explanation:

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