Question

(Giving brainliest and 40 points)

Answer 1

Answer:

1360 m³

Step-by-step explanation:

To determine the volume of a compound 3D shape, divide the 3D shape into multiple 3D known shapes. Then, determine the volume of those "3D known shapes" and sum them up to determine the volume (figure).

In this figure, we can see two cuboids forming the figure. Therefore,

⇒ V (Figure) = V (Cuboid₁) + V (Cuboid₂)

The formula to determine the volume of a cuboid is the measure of the length, multiplied to the product of the width and the height.

⇒ V (Cuboid) = L × (W × H)   or   L × W × H

Therefore, the volume of cuboid₁ is;

⇒ V (Figure) = [L (Cuboid₁) × W (Cuboid₁) × H (Cuboid₁)] + V (Cuboid₂)

When we substitute the dimensions of the cuboid₁ , we get;

⇒ V (Figure) = [8 × 5 × 22] + V (Cuboid₂)

Which when simplified, we get;

⇒ V (Figure) = [880] + V (Cuboid₂)

The same should be done to cuboid₂. Therefore,

⇒ V (Figure) = [880] + [L (Cuboid₂) × W (Cuboid₂) × H (Cuboid₂)]

When we substitute the measures in the equation, we get;

⇒ V (Figure) = [880] + [8 × 5 × 12]

Which when simplified, we get;

⇒ V (Figure) = [880] + [40 × 12]

⇒ V (Figure) = [880] + [480]

⇒ V (Figure) = 1360 m³

Therefore, the volume of the figure is 1360 m³.