A concrete loading ramp is a solid prism 9 m long. Its cross-section is a right-angled triangle that runs 4 m along the ground and rises to a vertical height of 1.5 m at the back. Find the volume of concrete in the ramp in m³.

Question

Accepted Answer

27. Cross-section area = ½ × 4 × 1.5 = 3 m². For a prism, volume = cross-section area × length = 3 × 9 = 27 m³. (Forgetting the ½ would wrongly give 54 m³.)

A concrete loading ramp is a solid prism 9 $m$ long. Its cross-section is a right-angled triangle that runs 4 $m$ along the ground and rises to a vertical height of 1.5 $m$ at the back. Find the volume of concrete in the ramp in $m^{3}$ .

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More Areas & Volumes practice

A concrete loading ramp is a solid prism 9 m long. Its cross-section is a right-angled triangle that runs 4 m along the ground and rises to a vertical height of 1.5 m at the back. Find the volume of concrete in the ramp in m3.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Areas & Volumes practice

A concrete loading ramp is a solid prism 9 $m$ long. Its cross-section is a right-angled triangle that runs 4 $m$ along the ground and rises to a vertical height of 1.5 $m$ at the back. Find the volume of concrete in the ramp in $m^{3}$ .