Answer:
3. 140 m³
4. 216 in.³
Step-by-step explanation:
Each solid is a prism. The volume for both follows the same formula:
volume = (area of the base) × height
Now we need to find the area of the base for each solid. The front face is the base of each solid. The height is the distance between the front face and the beck face.
3.
area of the base:
The base is an L shape that is made up of 2 rectangles.
area of front face = LW + lw =
= 6 m × 3 m + 2 m × 1 m
= 18 m² + 2 m²
= 20 m²
volume = area of base × height =
= 20 m² × 7 m
= 140 m³
4.
area of the base:
The base is an L shape that is made up of 2 rectangles.
area of front face = LW + lw =
= 6 in. × 3 in. + 4 in. × 9 in.
= 18 in.² + 36 in.²
= 54 in.²
volume = area of base × height =
= 54 in.² × 4 in.
= 216 in.³
