HELP PLEASEEE WITH EXPLANATION PLEASEEE

Find the surface area of the prism

Andrei [34K]

<h3>Answer: 168 square feet</h3>

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Explanation:

The front triangular face is a triangle with base 8 and height 6. Its area is

A = 0.5*base*height

A = 0.5*8*6

A = 24 square feet

The back triangular face is also 24 square feet since these are the base faces of the prism. The base faces are always congruent. It might help to imagine this figure is turned on its side.

The slanted lateral face is a rectangle of length 10 ft and width 5 ft, so its area is L*W = 10*5 = 50 square feet

The rectangular face on the left is 6 ft by 5 ft giving an area of 6*5 = 30 square feet.

Lastly, the bottom rectangular face is 8 ft by 5 ft giving an area 8*5 = 40 square feet

Overall, the total surface area is: 24+24+50+30+40 = 168 square feet

We just add up all the individual areas of each face to get the total surface area.

8 0

3 years ago

Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the

nikitadnepr [17]

Answer:

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.

<em>Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the cake in frosting, even the bottom of the cake. </em>

<em>How much space does Lacey's mom cover in frosting? </em>

My answer:

As we know that the surface area of the the cake is made up of rectangles. The formula for find the area of a rectangle is A = lw

The area of rectangle ABCD: 4*2 = 8

The area of rectangle ADFE : 12*2 = 24

The area of rectangle TJVS : 4*2 = 8

The area of rectangle ESFV :9*2 = 18

The area of rectangle HTJG: 5*2 = 10

The area of rectangle CBHG: 2*8 = 16

The area of CDEVGJ = ABHTFS

= 4*12 + 4*5

= 68

So the total area is: 68 +68 +16+10+18+8+24+8 = 220

Hope it will find you well

8 0

3 years ago

If a 121 miles trip took 5 1/2 gallons of gas, how many miles can be driven with a full tank of 13 gallons

Andrei [34K]

First, find the unit rate. Do 121 divided by 5.5 gallons of gas. This equates to 22 miles per gallon. Then, do 22*13, because you are finding how many miles you can go with 13 gallons of gas. Therefore, you would be able to go, 286 miles in total.

6 0

3 years ago

Read 2 more answers

2789 divided by 36 what is the remainder

qwelly [4]

Answer:
2789/36 is 77
with a remainder of 17

Step-by-step explanation:

8 0

3 years ago

Can you help me solve this inequality?

finlep [7]