PLZ HELP QUICK I BEG THE LENGTH HEIGHT AND WIDTH ARE ALREADY LISTED WORTH 35 POINTS PLZZZ I BEG 1. List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Width: 5cm
Height: 14cm.
Length: 12cm.
2. Describe the shape of the cross section when the box is cut parallel to the base.
It is Triangular

3. What is the surface area of the box?

4. What is the surface area of the box if it is scaled up by a factor of 10?

5. What is the volume of the box?

6. What is the volume of the box if it is scaled down by a factor of $1/10$?

the answer part 6) is

5.12 cm³

Step-by-step explanation:

I chose a box of cereal> rectangular prism

see the attached figure

Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Length: 20 cm

Width: 8 cm

Height: 32 cm

Part 2).

Describe the shape of the cross-section when the box is cut parallel to the base

the shape of the cross-section would be a rectangle of dimensions

20 cm x 8 cm

Part 3)

What is the surface area of the box?  

surface area=2*area of the base + perimeter of the base*height

area of the base=20*8=160 cm²

perimeter of the base=2*[20+8]> 56 cm

height=32 cm

surface area=2*160+56*32> 2,112 cm²

the answer part 3) is

2,112 cm²

Part 4)

What is the surface area of the box if it is scaled up by a factor of 10?

we know that

surface area of the larger box=[scale factor]²*surface area original box

scale factor=10

surface area original box=2,112 cm²

so

surface area of the larger box=10²*2,112> 211,200 cm²

the answer part 4) is

211,200 cm²

Part 5)  

What is the volume of the box?

volume of the box=L*W*H> 20*8*32> 5,120 cm³

the answer Part 5) is

5,120 cm³

Part 6)  

What is the volume of the box if it is scaled down by a factor of 1/10

we know that

volume of the smaller box=[scale factor]³*volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box=[1/10]³*5,120> 5.12 cm³

the answer part 6) is

5.12 cm³

3. the surface area is 2,112 cm²

4. 211,200 cm²

5. 5,120 cm³

6. 5.12 cm³

22.83 repeating

step-by-step explanation:

137 ÷ 6 is 22.8333333 therefore we understand that 3 is repeating.

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