To find the area of the triangular base of the prism, we first calculate the area of the triangle.
Base: 12 cm
Height: 7 cm
Area of triangle = 0.5 x base x height
Area of triangle = 0.5 x 12 x 7
Area of triangle = 42 square cm
The area of the triangular base of the prism is 42 square cm.
To determine the area of the smallest rectangle of the prism, we look at the rectangle formed by the 7 cm by 6 cm sides.
Area of smallest rectangle = 7 x 6
Area of smallest rectangle = 42 square cm
The area of the smallest rectangle of the prism is 42 square cm.
To determine the area of the largest rectangle of the prism, we look at the rectangle formed by the 12 cm by 7 cm sides.
Area of largest rectangle = 12 x 7
Area of largest rectangle = 84 square cm
The area of the largest rectangle of the prism is 84 square cm.
Total surface area of the prism:
2 x (area of triangular base) + 2 x (area of smallest rectangle) + 2 x (area of largest rectangle)
Total surface area = 2 x 42 + 2 x 42 + 2 x 84
Total surface area = 84 + 84 + 168
Total surface area = 336 square cm
The total surface area of the triangular prism is 336 square cm.
find the area of this triangular Prism so on the right side of it is 7cm and on the bottom is 12cm on the right, 7cm in the middle of the prism, 6cm on the left side and 4cm on the bottom left. give me the right answer.
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?________________
3 answers
are you sure the second one is 42?
I apologize for the mistake in my previous response. Let's recalculate the areas.
To find the area of the triangular base of the prism:
Base: 12 cm
Height: 7 cm
Area of the triangle = 0.5 x base x height
Area of the triangle = 0.5 x 12 x 7
Area of the triangle = 42 square cm
The area of the triangular base of the prism is 42 square cm.
To determine the area of the smallest rectangle of the prism, we look at the rectangle formed by the 4 cm by 7 cm sides.
Area of smallest rectangle = 4 x 7
Area of smallest rectangle = 28 square cm
The area of the smallest rectangle of the prism is 28 square cm.
To determine the area of the largest rectangle of the prism, we look at the rectangle formed by the 12 cm by 7 cm sides.
Area of largest rectangle = 12 x 7
Area of largest rectangle = 84 square cm
The area of the largest rectangle of the prism is 84 square cm.
Total surface area of the prism:
2 x (area of triangular base) + 2 x (area of smallest rectangle) + 2 x (area of largest rectangle)
Total surface area = 2 x 42 + 2 x 28 + 2 x 84
Total surface area = 84 + 56 + 168
Total surface area = 308 square cm
The correct total surface area of the triangular prism is 308 square cm.
To find the area of the triangular base of the prism:
Base: 12 cm
Height: 7 cm
Area of the triangle = 0.5 x base x height
Area of the triangle = 0.5 x 12 x 7
Area of the triangle = 42 square cm
The area of the triangular base of the prism is 42 square cm.
To determine the area of the smallest rectangle of the prism, we look at the rectangle formed by the 4 cm by 7 cm sides.
Area of smallest rectangle = 4 x 7
Area of smallest rectangle = 28 square cm
The area of the smallest rectangle of the prism is 28 square cm.
To determine the area of the largest rectangle of the prism, we look at the rectangle formed by the 12 cm by 7 cm sides.
Area of largest rectangle = 12 x 7
Area of largest rectangle = 84 square cm
The area of the largest rectangle of the prism is 84 square cm.
Total surface area of the prism:
2 x (area of triangular base) + 2 x (area of smallest rectangle) + 2 x (area of largest rectangle)
Total surface area = 2 x 42 + 2 x 28 + 2 x 84
Total surface area = 84 + 56 + 168
Total surface area = 308 square cm
The correct total surface area of the triangular prism is 308 square cm.
3 answers