To calculate the surface area of a prism, we can use the known formula where P is the perimeter of the base, h is the height, and B is the area of the base.
S=Ph+2B
We are given the lengths of all the base's sides. Let's add them to find the perimeter of the base.
P=6+8+10=24cm
Note that the base is a right triangle, so we can calculate its area using the formula for area of a triangle.
The area of the base is 24cm^2. Now we have enough information to find the surface area of the prism. Let's substitute P with 24, h with 5, and B with 24 into the formula.
The volume of a prism can be calculated using the following formula.
V=Bh
Earlier we calculated that the area of the base B is 24cm^2. We are also given that the height equals 5cm. Let's substitute these values into the formula and solve for V.
