Surface Area of Rectangular Pyramids Practice%0D%0AComplete this assessment to review what you've learned. It will not count toward your grade.%0D%0A5 of 55 of 5 Items%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0AQuestion%0D%0AUse the image to answer the question. %0D%0A%0D%0A%0D%0A%0D%0AWhat is the surface area of the rectangular pyramid?%0D%0A%0D%0A(1 point)%0D%0A mm2

Answer 1

To answer this question, we need to calculate the surface area of the rectangular pyramid.

The surface area of a rectangular pyramid can be calculated using the formula:
Surface Area = Base Area + 0.5 * Perimeter of Base * Slant Height

From the image provided, we can see that the base of the rectangular pyramid is a rectangle with dimensions 6mm x 4mm. Therefore, the base area is:
Base Area = 6mm * 4mm = 24mm^2

The perimeter of the base can be calculated as:
Perimeter of Base = 2(6mm) + 2(4mm) = 12mm + 8mm = 20mm

The slant height is given as 5mm.

Now we can plug these values into the formula:
Surface Area = 24mm^2 + 0.5 * 20mm * 5mm
Surface Area = 24mm^2 + 0.5 * 100mm^2
Surface Area = 24mm^2 + 50mm^2
Surface Area = 74mm^2

Therefore, the surface area of the rectangular pyramid is 74mm^2.