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 = 6s² (surface area of a cube)
• sa = 4πr² (surface area of a sphere)
• sa = 2πrh + 2πr² (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 = s³ (volume of a cube)
• v = 4/3πr³ (volume of a sphere)
• v = πhr² (volume of a right circular cylinder)

find the surface area in square inches and volume in cubic inches of the figure below.
7 in
7 in
7 in
surface area =
square inches
volume =
cubic inches
question help: message instructor

Explanation:

Step1: Identify the shape and formula

The figure is a cube with side $s = 7$ in. The surface - area formula for a cube is $SA=6s^{2}$.

Step2: Calculate the surface area

Substitute $s = 7$ into the formula: $SA=6\times7^{2}=6\times49 = 294$ square inches.

Step3: Identify the volume formula

The volume formula for a cube is $V=s^{3}$.

Step4: Calculate the volume

Substitute $s = 7$ into the formula: $V = 7^{3}=7\times7\times7=343$ cubic inches.

Answer:

Surface Area = 294 square inches
Volume = 343 cubic inches