let v(l) be the volume v of a sphere as a function of l, where 2l is length of one of it's edges. show that v'(l) is the surface area
Answers
Answer:the volume of the rectangular solid
Step 3. Name. Choose a variable to represent it. Let
V
= volume
Step 4. Translate.
Write the appropriate formula.
Substitute.
V
=
L
W
H
V
=
14
⋅
9
⋅
17
Step 5. Solve the equation.
V
=
2
,
142
Step 6. Check
We leave it to you to check your calculations.
Step 7. Answer the question. The surface area is
1,034
square centimeters.
2.
Step 2. Identify what you are looking for. the surface area of the solid
Step 3. Name. Choose a variable to represent it. Let
S
= surface area
Step 4. Translate.
Write the appropriate formula.
Substitute.
S
=
2
L
H
+
2
L
W
+
2
W
H
S
=
2
(
14
⋅
17
)
+
2
(
14
⋅
9
)
+
2
(
9
⋅
17
)
Step 5. Solve the equation.
S
=
1
,
034
Step 6. Check: Double-check with a calculator.
Step 7. Answer the question. The surface area is
1
,
034
square centimeters.
Step-by-step explanation: