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emmasim [6.3K]
2 years ago
13

What is the surface area of the triangular prism shown?

Mathematics
1 answer:
Lunna [17]2 years ago
4 0

Answer:

The first step that we are going to do is to solve the area of the top rectangle.  We are given a width of 15 cm and a length of 25 cm so we can just multiply them against each other to get the area.

Area = l * w

Area = 25\ cm * 15\ cm

Area = 375\ cm^2

The second side that we are going to solve for is the bottom rectangle.  We are given a width of 12 cm and a length of 25 cm so lets just multiply them against each other to get the area.

Area = l * w

Area = 25\ cm * 12\ cm

Area = 300\ cm^2

The next area that we are going to determine is the back rectangle which has a width of 9 cm and a length of 25 cm so lets just multiply them against each other to get the area.

Area = l * w

Area = 25\ cm * 9\ cm

Area = 225\ cm^2

The final area that we have to determine are the side triangles.  After determining the area of one triangle we will have to multiply it by 2 to get the area for both of the triangles.  We are given a base of 12 cm and a height of 9 cm so lets just use the formula to find the area.

Area = \frac{1}{2}* b*h

Area = \frac{1}{2}* 12\ cm*9\ cm

Area = 54\ cm^2

Multiply it by two to get the area for both of the triangles.

Area = 54\ cm^2 * 2

Area = 108\ cm^2

Finally, we are onto the last part which is to add up all of the areas and get the surface area after we combine everything.

Area_{total}=375\ cm^2 + 300\ cm^2 + 225\ cm^2 + 108\ cm^2

Area_{total}=1008\ cm^2

Therefore, our final answer is option B, 1008 cm^2

Hope this helps!

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3 years ago
In a group discussion, which option is most clearly a clarifying question?
Mariulka [41]

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Step-by-step explanation:

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3 years ago
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3 0
3 years ago
A 26-foot ladder is placed against a house and reaches the 24-foot roof. What is the distance between the base of the ladder and
hammer [34]

Answer:

The distance from the base of the ladder to the base of the house is 10ft

Step-by-step explanation:

From the question, we can gather that the ladder makes a right angle shape with the wall of the house.

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To calculate the distance between the base of the ladder and the base of the house, we shall be employing the use of Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the square of the 2 other sides

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3 years ago
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