That is a triangular prism and thus, it has two bases that are triangles, in this case, right triangles, whose hypotenuse is 5 in. long and one of its legs is 4 in. and the other one, 3 in.

The first step is to find the area of both bases like this:

$A_B=2\left(\dfrac{b\cdot h}{2}\right)=b\cdot h=4\cdot 3\\\\ \boxed{A_B=12\;in^2}$

The second step is to get the lateral area, which is compound of three rectangles, hence the process is the following:

$A_L=b_1\cdot h_1+b_2\cdot h_2+b_3\cdot h_3\\A_L=8\cdot3+8\cdot4+8\cdot5\\A_L=24+32+40\\\boxed{A_L=96\;in^2}$

Finally, we sum both of the areas found to calculate the total area.

$A_T=A_B+A_L\\A_T=12+96\\\boxed{A_T=108\;in^2}$

So, the answer is option B).

4 0

3 years ago

a satellite is orbiting the Earth at a speed of 17,640 miles an hour. At this rate how many miles will the satellite travel in o

antoniya [11.8K]

294 miles because 17640 / 60 = 294

5 0

4 years ago

Verify that - (-x) = r for (1). x =2/15 (2).x=-13/17

Art [367]

Answer:

1.-(-2/15)=2/15

2.-(-13/17)=13/17

Step-by-step explanation:

7 0

3 years ago

The traffic-control monitor on the freeway shows 200 vehicles per minute passing the camera in 5 minutes. Of those vehicles, on

Rudik [331]

Answer:

Step-by-step explanation:

15 x 5

6 0

3 years ago