Answer
Volume: $140$ $inches^{3}$
Surface are: $166$ $in^{2}$
Work Step by Step
To find the volume, use the formula for finding the volume of a right rectangular prism.
$A$ $=$ $length$ $\times$ $width$ $\times$ $height$
Using that formula we would do:
$7$ $\times$ $4$ $\times$ $5$ $=$ $140$
So the volume of the rectangular prism is $140$ $inches^{3}$
To find the surface area, find the area of each side of the prism and add those areas together. There are 6 sides, but we only need to calculate the area of 3 of the 2-D rectangles, because the rectangle opposite of each is the same area.
(The top and bottom sides are the same area, and the right and left sides are the same areas, and the front and back are the same areas)
The formula to find the area of a rectangle is:
$A$ $=$ $length$ $\times$ $width$
Using this formula, find the area of the sides:
$4$ $\times$ $5$ $=$ $20$
$7$ $\times$ $5$ $=$ $35$
$7$ $\times$ $4$ $=$ $28$
Now, add the areas of all the sides to find the total surface area:
$20$ $+$ $20$ $+$ $35$ $+$ $35$ $+$ $28$ $+$ $28$ $=$ $166$
Add the label: $166$ $in^{2}$
