The diagram shows a cuboid. pressure=(force)/(area) The cuboid has height 3 m The volume of the cuboid is 21m^3 The pressure on the floor due to the cuboid is 25newtons/m^2 Work out the force exerted by the cuboid on the floor.

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The diagram shows a cuboid. pressure=(force)/(area) The cuboid has height 3 m The volume of the cuboid is 21m^3 The pressure on the floor due to the cuboid is 25newtons/m^2 Work out the force exerted by the cuboid on the floor.

Answer 1

## Step 1: First, we need to find the area of the base of the cuboid. Since we know the volume of the cuboid and its height, we can use the formula for the volume of a cuboid to find the area of the base. The formula for the volume of a cuboid is: ### \( V = A \times h \) where \( V \) is the volume, \( A \) is the area of the base, and \( h \) is the height. ## Step 2: We rearrange the formula to solve for \( A \): ### \( A = \frac{V}{h} \) Substituting the given values, we find: ### \( A = \frac{21 \, m^3}{3 \, m} = 7 \, m^2 \) So, the area of the base of the cuboid is 7 \( m^2 \). ## Step 3: Now, we can use the formula for pressure to find the force exerted by the cuboid on the floor. The formula for pressure is: ### \( P = \frac{F}{A} \) where \( P \) is the pressure, \( F \) is the force, and \( A \) is the area. ## Step 4: We rearrange the formula to solve for \( F \): ### \( F = P \times A \) Substituting the given values, we find: ### \( F = 25 \, N/m^2 \times 7 \, m^2 = 175 \, N \) So, the force exerted by the cuboid on the floor is 175 Newtons.

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The diagram shows a cuboid. pressure=(force)/(area) The cuboid has height 3 m The volume of the cuboid is 21m^3 The pressure on the floor due to the cuboid is 25newtons/m^2 Work out the force exerted by the cuboid on the floor.

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