Question

Help me pls!!! this is due tomorrow

Answer 1

QUESTION 1

The bigger rectangular prism is the image and the smaller rectangular prism is the object.

If the dimension of the prism are doubled, then

Scale factor
`=2`

QUESTION 2

a. Length=2(8)=16 ft

b. Width =2(2)=4 ft

c. Height=2(6) =12 ft.

QUESTION 3

The surface area of a rectangular prism is given by;

`SA=2(lw+lh+wh)`

`SA=2(8(2)+8(6)+2(6))`

`SA=2(16+48+12)`

`SA=2(16+48+12)`

`SA=2(76)`

`SA=152ft^2`

QUESTION 4

The volume of the smaller prism is given by;

`V=lwh`

`V=6*2* 8`

`V=96ft^3`

QUESTION 5

To find the volume of the enlarged rectangular prism, we multiply the volume of the smaller prism by the cube of the scale factor.

`V=2^3* 96`

`V=768ft^3`

We could have also used the dimensions of the enlarged prism.

`V=16*12 *4=768ft^3`