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What is the surface area of the shaded front face of the composite solid?

A solid is comprised of 3 rectangular prisms. The first rectangular prism has a length of 2 centimeters, width of 4 centimeters, and height of 4 centimeters. The second has a length of 3 centimeters, width of 4 centimeters, and height of 2 centimeters. The third has a length of 3 centimeters, width of 4 centimeters, and height of 4 centimeters.
16 square centimeters
18 square centimeters
26 square centimeters
32 square centimeters

QUESTION 6

What is the surface area of the shaded front face of the composite solid A solid is comprised of 3 rectangular prisms The first rectangular prism has a length o class=

Respuesta :

mathiscool77

Answer:

26

Step-by-step explanation:

the first prism is 2 times 4 which is 8, the second is 3 times 2 which is 6, the third is 3 times 4 which is 12. 8 plus 6 plus 12 is 26.

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By decomposing the figure into simpler shapes, we will see that the area is 26 square centimeters.

How to find the shaded area?

Remember that for a rectangle of length L and width W, the area is:

A = L*W

Now, let's look at the figure, we want to find the area of the front face. We can decompose the front face into simpler figures.

These are (reading from left to right).

  • Rectangle of 2cm by 4cm
  • Rectangle of 3cm by 2cm
  • Rectangle of 3cm by 4cm.

So the total area of the front face is equal to the sum of the areas of the 3 rectangles, then the total area is:

A = (2cm*4cm) + (3cm*2cm) + (3cm*4cm) = 26 cm²

If you want to learn more about area:

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