1.what is the slant height for the given pyramid to the nearest whole unit.

pyramid base= 12 cm
height=8 cm
A.5 cm
B.9 cm
C.14 cm
D.10 cm

What is the length of the diagonal for the given rectangular prism to the nearest whole unit?
the unit is the length=6, width=5, height=9

A. 8 cm
B.10 cm
C.11 cm
D.12 cm

sl^2= [(1/2) base]^2 + h^2

so
sqrt (36+64)

d = sqrt [36 + 25 + 81]

i don't get it whats the answer

To find the slant height of a pyramid, we can use the Pythagorean theorem. The slant height is the hypotenuse of a right triangle, with the base and height of the pyramid forming the legs.

For the given pyramid:
Base = 12 cm
Height = 8 cm

To find the slant height, we can use the Pythagorean theorem:

Slant height^2 = Base^2 + Height^2

Slant height^2 = 12^2 + 8^2
Slant height^2 = 144 + 64
Slant height^2 = 208

To find the slant height, we need to calculate the square root of 208:

Slant height = √208

Now, let's find the nearest whole unit by rounding the result:

Slant height ≈ √208 ≈ 14.42 ≈ 14 cm

Therefore, the slant height of the given pyramid to the nearest whole unit is 14 cm. So, the answer is option C.

Now, let's move on to the next question about the length of the diagonal for the rectangular prism.

For a rectangular prism, the diagonal is the straight line connecting any two opposite vertices. To find the length of the diagonal, we can use the Pythagorean theorem once again.

For the given rectangular prism:
Length = 6 cm
Width = 5 cm
Height = 9 cm

We will find the diagonal connecting the length, width, and height.

Diagonal^2 = Length^2 + Width^2 + Height^2

Diagonal^2 = 6^2 + 5^2 + 9^2
Diagonal^2 = 36 + 25 + 81
Diagonal^2 = 142

To find the length of the diagonal, we need to calculate the square root of 142:

Diagonal = √142

Now, let's find the nearest whole unit by rounding the result:

Diagonal ≈ √142 ≈ 11.92 ≈ 12 cm

Therefore, the length of the diagonal for the given rectangular prism to the nearest whole unit is 12 cm. So, the answer is option D

sqrt = square root

so:
sqrt (36+64) = sqrt (100) = 10
and the other one is:
sqrt [36+25+81] = sqrt [142] ≈ 11 or 12