Question

6)
area = 63 ft²
14 ft
volume =
7)
area = 130 in²
17 in
volume =
8)
8 yd
area = 15 yd²
volume =
find the volume of each triangular prism:
example: formula:
17 yd
10 yd
8 yd
9)
5 in
7 in
12 in
volume =
10)
15 ft
13 ft
2 ft
volume =
11)
4 yd
11 yd
6 yd
volume =

Explanation:

Step1: Rectangular Prism 6: Use volume formula

Volume = Base Area × Length
$V = 63 \times 14$

Step2: Rectangular Prism 6: Calculate product

$V = 882$

Step3: Rectangular Prism 7: Use volume formula

Volume = Base Area × Height
$V = 130 \times 17$

Step4: Rectangular Prism 7: Calculate product

$V = 2210$

Step5: Rectangular Prism 8: Use volume formula

Volume = Base Area × Length
$V = 15 \times 8$

Step6: Rectangular Prism 8: Calculate product

$V = 120$

Step7: Triangular Prism 9: Find base area

Base Area = $\frac{1}{2} \times 7 \times 5 = 17.5$

Step8: Triangular Prism 9: Use volume formula

Volume = Base Area × Length
$V = 17.5 \times 12$

Step9: Triangular Prism 9: Calculate product

$V = 210$

Step10: Triangular Prism 10: Find base area

Base Area = $\frac{1}{2} \times 13 \times 15 = 97.5$

Step11: Triangular Prism 10: Use volume formula

Volume = Base Area × Length
$V = 97.5 \times 2$

Step12: Triangular Prism 10: Calculate product

$V = 195$

Step13: Triangular Prism 11: Find base area

Base Area = $\frac{1}{2} \times 11 \times 4 = 22$

Step14: Triangular Prism 11: Use volume formula

Volume = Base Area × Length
$V = 22 \times 6$

Step15: Triangular Prism 11: Calculate product

$V = 132$

Answer:

1. $882 \text{ ft}^3$
2. $2210 \text{ in}^3$
3. $120 \text{ yd}^3$
4. $210 \text{ in}^3$
5. $195 \text{ ft}^3$
6. $132 \text{ yd}^3$