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kogti [31]
3 years ago
13

Justin built a display stand out of two rectangular prisms. The smaller rectangular prism is 2 inches tall, 4 inches wide, and 6

inches long. The larger rectangular prism is 5 inches tall, 8 inches wide, and 10 inches long. He painted the entire outside of each prism before he put the prisms together. What was the total surface area, in square inches, that Justin painted on both rectangular prisms? (
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
5 0

Answer:

428 square inches

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Surface area of a prism: 2wl +2lh+2hw

Where w is the width of the prism; l the length; and h the height.

Replacing with the values given:

S (smaller prism) = 2 (4x6) + 2(6x2)+ 2(2x4)=48+24+16= 88 in2

S (larger prism) = 2 (8x10) +2 (10 x5)+2(5x8)= 160+100+80=340in2

Adding both surface areas:

88+340 =428 in2

Feel free to ask for more if needed or if you did not understand something.  

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The correct answer is option D which is the side length will be (64n)¹⁸.

<h3>What is the area of the square?</h3>

The square is defined as a quadrilateral having all four sides equal to each other and the area of the square is the product of its sides.

Given that:-

  • The area of the square is given as- A = (64n)³⁶.

The sides of the square will be calculated as follows:-

A = (64n)³⁶

a² = (64n)³⁶    Here a = Side of the square.

a = √ (64n)³⁶

a = 64n¹⁸

Therefore the correct answer is option D which is the side length will be (64n)¹⁸.

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2 years ago
Do most people your age understand finance?
stealth61 [152]

Answer:

Age 1-NO

Age 2-NO

Age 3-NO

Age 4-NO

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Age 8-NO

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Age 10-NO

Age 11-maybe probably not

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Answer:

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