Answer:

42-44.) Without more information about the shape of the pyramid, we cannot determine the area of the focus.

SA = 0.5 * base perimeter * slant height + base area

where the base perimeter is the sum of the lengths of the base edges, and the slant height is the distance from the base midpoint to the apex of the pyramid.

In this case, the base is a rectangle with width 4 inches and length 6 inches, so its perimeter is P = 24 + 26 = 20 inches. The slant height is not given, so we cannot compute the surface area of the pyramid.

47-48.) The area of a circular base is given by the formula A = πr^2, where r is the radius of the base. In this case, the radius is 4 cm, so the area of one base is A = π(4 cm)^2 = 16π cm^2. The area of two bases is therefore 2A = 32π cm^2.

49.) The curved surface area of a cylinder is given by the formula A = 2πrh, where r is the radius of the base, h is the height of the cylinder, and π is pi (approximately 3.14). In this case, the height is given as 6 cm, but we need to know the length or circumference of the cylinder to determine the curved surface area.

50.) The surface area of a cylinder is given by the formula A = 2πr^2 + 2πrh, where r is the radius of the base, h is the height of the cylinder, and π is pi (approximately 3.14). In this case, the radius is 4 cm and the height is 6 cm, so the surface area is:

A = 2π(4 cm)^2 + 2π(4 cm)(6 cm)

 = 32π + 48π

 = 80π cm^2

 ≈ 251.2 cm^2 (rounded to one decimal place)

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Step-by-step explanation: