6cm 4cm 7cm 7cm 12 cm
(4 points)
Determine the area of the triangular base of the prism. square centimeters
Determine the area of the smallest rectangle of the prism. square centimeters
Determine the area of the largest rectangle of the prism. square centimeters
What is the total surface area of the triangular prism? square centimeters
To find the area of the triangular base of the prism, you can use the formula for the area of a triangle: 0.5 * base * height. In this case, the base of the triangle is 6 cm and the height is 4 cm. So, the area of the triangular base is 0.5 * 6 cm * 4 cm = 12 square cm.
To find the area of the smallest rectangle of the prism, you can use the formula for the area of a rectangle: length * width. In this case, the smallest rectangle has dimensions of 6 cm by 4 cm, so the area is 6 cm * 4 cm = 24 square cm.
To find the area of the largest rectangle of the prism, you can use the same formula as above. The largest rectangle has dimensions of 12 cm by 7 cm, so the area is 12 cm * 7 cm = 84 square cm.
To find the total surface area of the triangular prism, you need to add up the areas of all the surfaces. The triangular base has an area of 12 square cm, there are two smaller rectangles with a total area of 2 * 24 square cm = 48 square cm, and the largest rectangle has an area of 84 square cm. So, the total surface area is 12 + 48 + 84 = 144 square cm.