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;

$V=lwh$

$V=6\times2\times 8$

$V=96ft^3$

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.

$V=2^3\times 96$

$V=768ft^3$

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

$V=16\times12 \times4=768ft^3$