A regular triangular pyramid with a slant height of 9 m has a volume equal to 50 m^3. find the lateral area of the pyramid

1 answer:

8 0

we are given a regular triangular pyramid with a slant height of 9 m and volume of 50 m3. We can get the altitude of the pyramid by sin 60 = h / 9; h is equal to 7.7942 m. Volume is equal to 1/3 h * B, B is equal to 19.2451 m2. perimeter of the base is 3*9 m equal to 27 meters. The lateral area has a formula of 1/2 pl, substituting, lateral area is equal to 121.5 m2.

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Step-by-step explanation:

Create the dot plots based on the given information (please see attached images).

Group A = blue dots

Group B = red dots

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To calculate the average forearm length, sum all data values and divide by the total number of data values.

$\textsf{Average of Group A}=\dfrac{ 3 \times 10 + 4 \times 11 + 3 \times 12}{10}=11$