To calculate the area of the triangular base of the prism, we use the formula for the area of a triangle: 1/2 * base * height. The base is 6 cm and the height is 4 cm.
Area of triangular base = 1/2 * 6 cm * 4 cm = 12 cm^2
To calculate the area of the smallest rectangle of the prism, we use the formula for the area of a rectangle: length * width. The smallest rectangle is a face of the prism with dimensions 4 cm and 7 cm.
Area of smallest rectangle = 4 cm * 7 cm = 28 cm^2
To calculate the area of the largest rectangle of the prism, we use the same formula: length * width. The largest rectangle is the opposite face of the prism, with dimensions 6 cm and 7 cm.
Area of largest rectangle = 6 cm * 7 cm = 42 cm^2
To find the total surface area of the triangular prism, we need to calculate the areas of all the faces and then add them together. The prism has 2 triangular faces and 3 rectangular faces.
Total surface area = (2 * 12 cm^2) + 28 cm^2 + 42 cm^2 + 28 cm^2 + 42 cm^2 = 164 cm^2
Therefore, the total surface area of the triangular prism is 164 cm^2.
Determine the area of the triangular base of the prism.
Determine the area of the smallest rectangle of the prism
. Determine the area of the largest rectangle of the prism.
What is the total surface area of the triangular prism?
DIMENSIONS
6cm
4cm
7cm
7cm
12cm
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