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Secondary 1 | Maths
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anyone can help me find the volume and the total surface area of this prism? I don't understand .
Date Posted: 3 years ago
Views: 345
A prism is a three-dimensional shape in which both ends (in this case, ABCD and EFGH) are identical in shape.
We call the surfaces ABCD and EFGH the cross-section of the prism in this case (for a cylinder, the cross-section takes the shape of a circle).
The "height" of the prism is basically DH (or CG or AE or BF).
The volume of any prism is calculated by multiplying the cross-sectional area of the prism by its "height". A cuboid is a good example of this. Its volume is cross-sectional area multiplied by height, where the cross-sectional area is basically the area of a rectangle.
We will need to calculate the cross-sectional area of trapezium ABCD.
Area of trapezium ABCD
= 1/2 x sum of parallel lengths x height
= 1/2 x (6 + 9) x 4
= 1/2 x 15 x 4
= 30
So, the volume of that trapezoidal prism
= 30 x 10
= 300
We call the surfaces ABCD and EFGH the cross-section of the prism in this case (for a cylinder, the cross-section takes the shape of a circle).
The "height" of the prism is basically DH (or CG or AE or BF).
The volume of any prism is calculated by multiplying the cross-sectional area of the prism by its "height". A cuboid is a good example of this. Its volume is cross-sectional area multiplied by height, where the cross-sectional area is basically the area of a rectangle.
We will need to calculate the cross-sectional area of trapezium ABCD.
Area of trapezium ABCD
= 1/2 x sum of parallel lengths x height
= 1/2 x (6 + 9) x 4
= 1/2 x 15 x 4
= 30
So, the volume of that trapezoidal prism
= 30 x 10
= 300
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