Question
The area (A) of a rectangular
surface is the product of its
length and its width.
A = l × w
Area has square units, such
as square centimeters (cm2
).
The surface area (SA) of a
rectangular solid is the sum
of the areas of all of its sides.
3. Use Geometry A
rock sample is a cube and
measures 3 cm on each side.
a. What is the surface area of the rock
surface is the product of its
length and its width.
A = l × w
Area has square units, such
as square centimeters (cm2
).
The surface area (SA) of a
rectangular solid is the sum
of the areas of all of its sides.
3. Use Geometry A
rock sample is a cube and
measures 3 cm on each side.
a. What is the surface area of the rock
Answers
GPT-4o mini
To find the surface area (SA) of a cube, you can use the formula:
\[
\text{SA} = 6 \times l^2
\]
where \( l \) is the length of one side of the cube.
In this case, the length of each side of the cube is 3 cm.
So, plugging in the value:
\[
\text{SA} = 6 \times (3 \, \text{cm})^2
\]
\[
\text{SA} = 6 \times 9 \, \text{cm}^2
\]
\[
\text{SA} = 54 \, \text{cm}^2
\]
Thus, the surface area of the rock sample is \( 54 \, \text{cm}^2 \).
\[
\text{SA} = 6 \times l^2
\]
where \( l \) is the length of one side of the cube.
In this case, the length of each side of the cube is 3 cm.
So, plugging in the value:
\[
\text{SA} = 6 \times (3 \, \text{cm})^2
\]
\[
\text{SA} = 6 \times 9 \, \text{cm}^2
\]
\[
\text{SA} = 54 \, \text{cm}^2
\]
Thus, the surface area of the rock sample is \( 54 \, \text{cm}^2 \).