B. Find the perimeter/circumference of the given. Show your solution. (2pts each)
A
20 cm
4 cm
C 8cm DE 8cm F
12 cm
20 cm
9 in
3 in
B
20 cm
17 in
4 cm
C. Find the area of the given. Show your solution. (2pts each)
17 ft
4 cm
6
6 in
D. Find the surface area of the given. Show your solution. (2pts each)
12 in
16 ft
118 cm
A. Find the volume of the given. Show your solution. (2pts each)
39 ft
8 cm
10 in
6 in
7 in
7 in
7 in
12 ft
1
8 ft
3 ft
12cm
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Answer:
### B. Perimeter/Circumference:
#### A.
\[ \text{Perimeter} = AB + BC + CD + DE + EF + AF \]
\[ \text{Perimeter} = 20 \, \text{cm} + 4 \, \text{cm} + 8 \, \text{cm} + 8 \, \text{cm} + 12 \, \text{cm} + 20 \, \text{cm} \]
#### B.
\[ \text{Circumference} = AB + BC + CD \]
\[ \text{Circumference} = 20 \, \text{cm} + 17 \, \text{in} + 4 \, \text{cm} \]
### C. Area:
#### A.
\[ \text{Area} = \frac{1}{2} \times AC \times BD \]
\[ \text{Area} = \frac{1}{2} \times 17 \, \text{ft} \times 4 \, \text{cm} \]
#### B.
\[ \text{Area} = \frac{1}{2} \times BC \times CD \]
\[ \text{Area} = \frac{1}{2} \times 6 \, \text{in} \times 6 \, \text{in} \]
### D. Surface Area:
#### A.
\[ \text{Surface Area} = 2 \times (AB \times BC + AB \times AC + BC \times AC) \]
\[ \text{Surface Area} = 2 \times (12 \, \text{in} \times 16 \, \text{ft} + 12 \, \text{in} \times 118 \, \text{cm} + 16 \, \text{ft} \times 118 \, \text{cm}) \]
### A. Volume:
\[ \text{Volume} = \pi \times r^2 \times h \]
\[ \text{Volume} = \pi \times (8 \, \text{cm})^2 \times 10 \, \text{in} \]
Please compute the numerical values for each expression using the given measurements.