Instructions search your home for a rectangular prism. some examples are a cereal box, a cd case, or a coffee table. measure your prism using appropriate units, such as inches, centimeters, or feet. complete the following. show all work for calculations. 1. list the dimensions of your box. be sure to include the units (in, cm, ft, length: width: height: 2. describe the shape of the cross section when the box is cut parallel to the base. 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? pls

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

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