Answer Key
Name: ________________________________
Student explanations may vary.
Area, Surface Area, & Volume of Composite Figures Constructed
Response
1 The Hal e
a e e deli g hei h e a d a f he e del ill be
fi i h hei ba e e . The a e
deciding whether or not to cover the entire basement with carpet OR ca e he Office a d H e Thea e
while laying ile i he S age
.
l
8
13
Part A: How many square feet of flooring will be required to cover the entire basement? Explain your reasoning and/or
show your work.
________________
719
𝒇𝒕𝟐
Reasoning/Work:
Office: 20 12 240
To find the amount of flooring needed in
____________________________________________________________________________________________________________
Storage: 8 13 104
square feet, find the area of each room
____________________________________________________________________________________________________________
Home Th.: 25 15 375
____________________________________________________________________________________________________________
and add them together for the total sum.
____________________________________________________________________________________________________________
240 104 375 𝟕𝟏𝟗
Part B: The price per square foot of carpet and price per square foot of tile are shown below. Calculate the cost of
(1) carpeting the entire basement AND (2) carpeting only the Office and Home Theater with tile in the Storage room.
Explain your reasoning and/or show your work.
1
Carpeting the entire basement will
$3,954.50
cost: _____________________
Work/Reasoning:
Multiply the total square
_________________________________
footage (719) by $5.50:
_________________________________
_________________________________
719 5.5 3,954.50
_________________________________
_________________________________
_________________________________
_________________________________
_________________________________
2
Carpeting the Office & Home
Theater and laying tile in the
$4,110.50
Storage room will cost: ___________
Work/Reasoning:
Find the sum of the Office &
_________________________________
Home Theater and multiply it
_________________________________
by $5.50. Then multiply the
_________________________________
Storage (104) by $7 and add
_________________________________
the two totals together.
_________________________________
5.5 240 375
$3,382.50
_________________________________
7
104
$728
_________________________________
3,382.5 728 4,110.5
_________________________________
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