Determine the area of the triangular base of the prism. square
the base is 4 and the height is 6 * 1/2
The formula for the area of a triangle is 1/2 * base * height.
So, in this case, the area of the triangular base of the prism would be:
1/2 * 4 * 6 = 12 square units.
Determine the area of the smallest rectangle of the prism. square centimeters
To find the area of the smallest rectangle of the prism, we need to determine the length and width of the rectangle.
The length of the rectangle would be the same as the base of the triangular face, which is 4 units.
The width of the rectangle would be the same as the height of the prism, which is 6 units.
Therefore, the area of the smallest rectangle of the prism is:
4 cm * 6 cm = 24 square centimeters.
Determine the area of the largest rectangle of the prism. square centimeters
The largest rectangle of the prism will have a base equal to the base of the prism and a height equal to the diagonal of the rectangular base of the prism.
Given that the base of the prism is a square with side length 4 units, we can calculate the diagonal using the Pythagorean theorem:
diagonal = √(side^2 + side^2)
diagonal = √(4^2 + 4^2)
diagonal = √(16 + 16)
diagonal = √32 ≈ 5.66 units
Therefore, the area of the largest rectangle of the prism is:
4 cm * 5.66 cm ≈ 22.64 square centimeters.
Determine the area of the largest rectangle of the prism. square centimeters base 4 height 6
Since the base of the prism is a triangle with a base of 4 units and a height of 6 units, the largest rectangle that can be inscribed in the triangle will have a base of 4 units (same as the base of the prism) and a height of 6 units (same as the height of the prism).
Therefore, the area of the largest rectangle in the prism is:
Area = base * height
Area = 4 cm * 6 cm
Area = 24 square centimeters
So, the area of the largest rectangle in the prism is 24 square centimeters.
Determine the area of the triangular base of the prism. square centimeters. base 4 height 6
The area of a triangle is given by the formula:
Area = 1/2 * base * height
In this case, the base of the triangular base of the prism is 4 units, and the height is 6 units.
Area = 1/2 * 4 * 6
Area = 2 * 6
Area = 12 square centimeters
Therefore, the area of the triangular base of the prism is 12 square centimeters.