Question

abbreviations

• sa = surface area
• l = length
• w = width
• h or h = height
• s = side
• r = radius

surface area

• (sa = 2lw+2lh + 2wh) (surface area of a rectangular solid)
• (sa = 6s^{2}) (surface area of a cube)
• (sa = 4pi r^{2}) (surface area of a sphere)
• (sa = 2pi rh+2pi r^{2}) (surface area of a right circular cylinder)

abbreviations

• v = volume
• l = length
• w = width
• h or h = height
• s = side
• r = radius

volume

• (v = lwh) (volume of a rectangular solid)
• (v = s^{3}) (volume of a cube)
• (v=\frac{4}{3}pi r^{3}) (volume of a sphere)
• (v=pi hr^{2}) (volume of a right circular cylinder)

find the surface area in square yards and volume in cubic yards of the figure below.
10 yd
7 yd
10 yd
surface area =
volume =
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Explanation:

Step1: Identify the formula for surface area of rectangular solid

The formula for the surface area of a rectangular solid is $SA = 2LW+2LH + 2WH$. Here, $L = 10$ yd, $W=7$ yd, and $H = 10$ yd.

Step2: Substitute the values into the formula

$SA=2\times10\times7 + 2\times10\times10+2\times7\times10$
$SA = 140+200 + 140$
$SA=480$ square - yards.

Step3: Identify the formula for volume of rectangular solid

The formula for the volume of a rectangular solid is $V = LWH$.

Step4: Substitute the values into the formula

$V=10\times7\times10$
$V = 700$ cubic - yards.

Answer:

Surface Area = 480 square yards
Volume = 700 cubic yards