To solve the problems related to the volume of triangular prisms, we use the formula for the volume of a triangular prism:
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
Problem 1:
-
Base Area = 72 in²
-
Height = 6 in
\[
\text{Volume} = 72 \, \text{in}^2 \times 6 \, \text{in} = 432 \, \text{in}^3
\]
Problem 2:
-
Base Area = 50 ft²
-
Height = 1.8 ft
\[
\text{Volume} = 50 \, \text{ft}^2 \times 1.8 \, \text{ft} = 90 \, \text{ft}^3
\]
Problem 3:
-
Base Area = 181 yd²
-
Height = 26 yd
\[
\text{Volume} = 181 \, \text{yd}^2 \times 26 \, \text{yd} = 4706 \, \text{yd}^3
\]
Problem 4:
-
Base Area = 117 m²
-
Height = 4 m
\[
\text{Volume} = 117 \, \text{m}^2 \times 4 \, \text{m} = 468 \, \text{m}^3
\]
Problem 5:
-
Base Area = 36 yd²
-
Height = 17 yd
\[
\text{Volume} = 36 \, \text{yd}^2 \times 17 \, \text{yd} = 612 \, \text{yd}^3
\]
Problem 6:
-
Base Area = 9 in²
-
Height = 15.5 in
\[
\text{Volume} = 9 \, \text{in}^2 \times 15.5 \, \text{in} = 139.5 \, \text{in}^3
\]
Problem 7:
-
Base Area = 55 ft²
-
Height = 20 ft
\[
\text{Volume} = 55 \, \text{ft}^2 \times 20 \, \text{ft} = 1100 \, \text{ft}^3
\]
Problem 8:
-
Base Area = 169 yd²
-
Height = 16 yd
\[
\text{Volume} = 169 \, \text{yd}^2 \times 16 \, \text{yd} = 2704 \, \text{yd}^3
\]
Final Answers:
1. \( \boxed{432} \)
2. \( \boxed{90} \)
3. \( \boxed{4706} \)
4. \( \boxed{468} \)
5. \( \boxed{612} \)
6. \( \boxed{139.5} \)
7. \( \boxed{1100} \)
8. \( \boxed{2704} \)
Parent Tip: Review the logic above to help your child master the concept of printable math worksheets volume of rectangular pyramid.
