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Question
3
3
3
/
14
14
14
\newline
a
v
a^{v}
a
v
\newline
3
3
3
Find the volume and surface area of the following rectangular prism.
\newline
volume:
\newline
Surface Área:
□
\square
□
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Math Problems
Grade 6
Volume of cubes and rectangular prisms: word problems
Full solution
Q.
Question
3
3
3
/
14
14
14
\newline
a
v
a^{v}
a
v
\newline
3
3
3
Find the volume and surface area of the following rectangular prism.
\newline
volume:
\newline
Surface Área:
□
\square
□
Question Prompt:
Question prompt: Find the volume and surface area of the rectangular prism.
Volume Calculation:
Volume calculation: Volume =
Length
×
Width
×
Height
\text{Length} \times \text{Width} \times \text{Height}
Length
×
Width
×
Height
.
Assumption:
Let's assume the length, width, and height are given, but they're not provided in the problem. We need those to calculate the volume and surface area.
More problems from Volume of cubes and rectangular prisms: word problems
Question
A cylindrical soda can has a volume of
108
π
cm
3
108\pi\ \text{cm}^{3}
108
π
cm
3
and a height of
12
cm
12\text{cm}
12
cm
. What is the surface area of the soda can in square centimeters?
\newline
Choose
1
1
1
answer:
\newline
(A)
18
π
cm
2
18\pi\text{cm}^{2}
18
π
cm
2
\newline
(B)
36
π
cm
2
36\pi\text{cm}^{2}
36
π
cm
2
\newline
(C)
72
π
cm
2
72\pi\text{cm}^{2}
72
π
cm
2
\newline
(D)
90
π
cm
2
90\pi\text{cm}^{2}
90
π
cm
2
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Posted 2 months ago
Question
A cake pan is in the shape of a right rectangular prism
20
cm
20\,\text{cm}
20
cm
long by
20
cm
20\,\text{cm}
20
cm
wide by
5
cm
5\,\text{cm}
5
cm
high. The pan contains
1
,
000
cm
3
1,000\,\text{cm}^3
1
,
000
cm
3
of batter. Approximately how far is the cake batter from the top of the pan?
\newline
Choose
1
1
1
answer:
\newline
(A)
1
cm
1\,\text{cm}
1
cm
\newline
(B)
2.5
cm
2.5\,\text{cm}
2.5
cm
\newline
(C)
5
cm
5\,\text{cm}
5
cm
\newline
(D)
7
cm
7\,\text{cm}
7
cm
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Posted 2 months ago
Question
A contractor is to build a new structure at a farm for seed storage. It will have a rectangular base, which is
20
20
20
feet wide by
35
35
35
feet long, with walls of thickness
t
t
t
feet. The structure is
90
90
90
feet tall. Excluding the volume of the walls, which of the following functions best models the volume,
V
V
V
, in cubic feet, inside the structure?
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Posted 1 month ago
Question
Rocio drops a ball from a height of
4
4
4
meters. Rocio observes that each time the ball bounces, it reaches a peak height which is
\newline
79
%
79\%
79%
of the previous peak height, as shown. Which of the following equations correctly models the ball's peak height,
\newline
h
h
h
, in meters, after
\newline
b
b
b
bounces?
\newline
Choose
1
1
1
answer:
\newline
(A)
\newline
h
=
4
⋅
0.7
9
(
b
−
1
)
h=4\cdot0.79^{(b-1)}
h
=
4
⋅
0.7
9
(
b
−
1
)
\newline
(B)
\newline
h
=
4
⋅
0.7
9
b
h=4\cdot0.79^{b}
h
=
4
⋅
0.7
9
b
\newline
(C)
\newline
h
=
4
−
0.79
⋅
b
2
h=4-0.79\cdot b^{2}
h
=
4
−
0.79
⋅
b
2
\newline
(D)
\newline
h
=
4
⋅
(
1
−
0.79
⋅
b
2
)
h=4\cdot(1-0.79\cdot b^{2})
h
=
4
⋅
(
1
−
0.79
⋅
b
2
)
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Posted 2 months ago
Question
Imani's grandmother's house is
5
5
5
miles west of her own house down Main Street. While at her grandmother's, Imani decides to ride her bike farther west down Main Street at
10
10
10
miles per hour. Which equation best describes the distance,
\newline
d
d
d
, in miles, Imani is from home after
\newline
t
t
t
hours?
\newline
Choose
1
1
1
answer:
\newline
(A)
d
=
5
+
10
t
d=5+10t
d
=
5
+
10
t
\newline
(B)
d
=
5
−
10
t
d=5-10t
d
=
5
−
10
t
\newline
(C)
d
=
5
t
+
10
d=5t+10
d
=
5
t
+
10
\newline
(D)
d
=
5
t
−
10
d=5t-10
d
=
5
t
−
10
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Posted 1 month ago
Question
A piece of wood has a mass of
m
1
m_1
m
1
grams and a volume of
V
1
V_1
V
1
cubic centimeters. A second piece of wood has the same density
ρ
\rho
ρ
and a volume of
V
2
V_2
V
2
. What is the mass, in grams, of the second piece of wood?
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Posted 2 months ago
Question
The function models
R
R
R
, the revenue, in dollars, from selling a particular board game at a price of
x
x
x
dollars. What is the revenue if the board game is sold at a price of
30
30
30
dollars?
\newline
Choose
1
1
1
answer:
\newline
(A)
$
500
,
000
\$500,000
$500
,
000
\newline
(B)
$
800
,
000
\$800,000
$800
,
000
\newline
(C)
$
900
,
000
\$900,000
$900
,
000
\newline
(D)
$
1
,
770
,
000
\$1,770,000
$1
,
770
,
000
Get tutor help
Posted 1 month ago
Question
Rocio drops a ball from a height of
4
4
4
meters. Rocio observes that each time the ball bounces, it reaches a peak height which is
79
%
79\%
79%
of the previous peak height, as shown. Which of the following equations correctly models the ball's peak height,
h
h
h
, in meters, after
b
b
b
bounces?
\newline
Choose
1
1
1
answer:
\newline
(A)
h
=
4
⋅
0.7
9
(
b
−
1
)
h=4\cdot0.79^{(b-1)}
h
=
4
⋅
0.7
9
(
b
−
1
)
\newline
(B)
h
=
4
⋅
0.7
9
b
h=4\cdot0.79^{b}
h
=
4
⋅
0.7
9
b
\newline
(C)
h
=
4
−
0.79
⋅
b
2
h=4-0.79\cdot b^{2}
h
=
4
−
0.79
⋅
b
2
\newline
(D)
h
=
4
⋅
(
1
−
0.79
⋅
b
2
)
h=4\cdot(1-0.79\cdot b^{2})
h
=
4
⋅
(
1
−
0.79
⋅
b
2
)
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Posted 2 months ago
Question
What is the volume, in cubic inches, of a rectangular prism with a height of
7
7
7
inches, a width of
5
5
5
inches, and a length of
5
5
5
inches?
\newline
Answer:
V
=
□
V=\square
V
=
□
inches
3
^{3}
3
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Posted 2 months ago
Question
A rectangular prism has a length of
2
2
2
inches, a height of
16
16
16
inches, and a width of
15
15
15
inches. What is its volume, in cubic inches?
\newline
Answer:
V
=
□
V=\square
V
=
□
inches
3
^{3}
3
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Posted 2 months ago