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The prism below has dimensions 2 inches by 3 inches by 4 inches. To the right of the prism, shade the number of prisms necessary, if stacked on top of each other as shown, to create a new prism with a surface area between 100 square inches and 130 square inches.
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Sagot :

MrRoyal

The area of the stacked prism is the amount of space on it

To create a total area between 100 square inches and 130 square inches, 2 to 2.5 prisms

How to determine the number of prisms?

The dimension of the prism is given as:

2 inches by 3 inches by 4 inches

The surface area of the prism is calculated as:

A = 2 * (LW + WH + LH)

This gives

A = 2 * (2 * 3 + 3 * 4 + 2 * 4)

Evaluate the product

A = 52

When the prisims are stacked onto one another, the surface area is between 100 square inches and 130 square inches.

So, the number of prisms (n) needed is:

100/ 52 < n < 130/52

Evaluate the quotient

1.9 < n < 2.5

Approximate

2 < n < 2.5

Hence, 2 to 2.5 prisms are needed to create a total area between 100 square inches and 130 square inches.

Read more about areas at:

https://brainly.com/question/24487155

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