Find the total surface area of a square based prism (cuboid) of height 4cm, given that the side length of its base is 6cm.
please show working out

Total surface area of the square pyramid is 1476 cm².

Step-by-step explanation:

Total surface area of a pyramid = 12pl + B. Here p is perimeter of the base which is a square = 4 × side, l is the slant height and B is the area of the base = side²

Find perimeter of the base

⇒ p = 4 × side = 4 × 6 = 24 cm

Find the slant height of the prism. l² = height² + (side/2)² (Based on Pythagoras Theorem)

⇒ l² = 4² + (6/2)² = 16 + 9 = 25

⇒ l = √25 = 5 cm

Find the area of the base of the pyramid.

⇒ B = side² = 6² = 36 cm²

Calculate total surface area of the pyramid.

⇒ TSA = 12 × 24 × 5 + 36 = 1440 + 36 = 1476 cm²

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

what golf ball

step-by-step explanation: