Surface Area

The surface area of a right prism is given by the formula: $$\frac{1}{2}Pl + B$$ , where P is the perimeter of the base, l is the height, and B is the area of the base.

The surface area of a cube is calculated using the formula: $$6s^2$$ , where s is the length of a side.

The surface area is 1350 in², calculated as $$6(15^2) = 1350$$ .

The surface area of a regular pyramid is given by the formula: $$\frac{1}{2}Pl + B$$ , where P is the perimeter of the base, l is the slant height, and B is the area of the base.

To find the surface area of a composite figure, calculate the surface area of each individual shape and then sum them up, ensuring to account for any overlapping areas.

The surface area of a cylinder is given by the formula: $$2\text{π}rh + 2\text{π}r^2$$ , where r is the radius and h is the height.

The surface area is 48π cm², calculated as $$2\text{π}(3)(5) + 2\text{π}(3^2) = 48\text{π}$$ .

The surface area of a sphere is given by the formula: $$4\text{π}r^2$$ , where r is the radius.

The surface area is 64π cm², calculated as $$4\text{π}(4^2) = 64\text{π}$$ .

The surface area of a rectangular prism is given by the formula: $$2(lw + lh + wh)$$ , where l is the length, w is the width, and h is the height.