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Naddika [18.5K]
3 years ago
9

What is the total surface area of the prism shown below

Mathematics
1 answer:
Westkost [7]3 years ago
5 0
The prism has 6 faces.
Each pair of opposite faces is congruent.

The front and back faces are rectangles that measure 10 cm by 5 cm.
The right and left faces are rectangles that measure 5 cm by 3 cm.
The top and bottom faces are rectangles that measure 10 cm by 3 cm.

Now we find the area of each rectangle.

The front and back faces are rectangles that measure 10 cm by 5 cm.
Each face:
A = 10 cm * 5 cm + 50 cm^2

The right and left faces are rectangles that measure 5 cm by 3 cm.
Each face:
A = 5 cm * 3 cm = 15 cm^2

The top and bottom faces are rectangles that measure 10 cm by 3 cm.
Each face:
A = 10 cm * 3 cm = 30 cm^2

There are two faces shaped like each rectangle above, so we multiply each rectangle's area by 2, and we add them together.

total surface area = 2 * 50 cm^2 + 2 * 15 cm^2 + 2 * 30 cm^2

total surface area = 100 cm^2 + 30 cm^2 + 60 cm^2

total surface area = 190 cm^2
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  • All the listed combination of row and boxes are correct and can be chosen from.

From the question, we are asked to find the row arrangement of a stack of boxes. Let us take a look at each one of the aforelisted answers

  • x rows with 16 boxes in each row
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Since we are told that the total number of boxes to be stacked is 64, then for the first arrangement, we can deduce that the "x" is going to be 4. This is because multiplying 4 by 16 gives 64. For the second row, using the same calculation, we find that "x" is 8. And that of the third gives our "x" to be 4 as well. We can then adjudge that;

  • 4 rows with 16 boxes in each row
  • 8 rows with 8 boxes in each row
  • 16 rows with 8 boxes in each row

Bearing this in mind, we can see that each of the 3 answers fits into the requirements we are asked.

  • At least 3 rows, and at least 4 boxes in each row.

Hence, all of the options are correct.

To learn more about rows and columns, see here brainly.com/question/13196178

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2 years ago
Are 4/16 and 0.25/2 equivalent numbers? If so, explain how they are.
Aleksandr-060686 [28]
Two fractions are equivalent if the product of the numerator of the first and the denominator of the second is equal to the product of the numerator of the second and the denominator of the first.
                           4 x 2 ___ 16 x 0.25
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Thus, they are not equivalent. 
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3 years ago
Solve for x.<br> 9/x = -6
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<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em> </em><em>⤴</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em>

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Suzanne needs material for her school project. She buys 4.75 yards of material at $5.37 a yard. What is the total cost of the ma
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The material costs 5.37 for 1 yard.

 Multiply the cost of 1 yard by the number of yards bought:

5.37 per yard x 4.75 yards = $25.51 Total cost.

The answer would be D.
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