Q:

Pleasr help me ASAP! Thank you^-^ If w = 10 units, x = 5 units, and y = 6 units, what is the surface area of the figure? Round your answer to the nearest tenth.Please look at pictureA: 656.2 units²B: 400 units²C:256.2 units²D:456.2 units²

Accepted Solution

A:
Answer:D:456.2 units²Step-by-step explanation:Step 1: Area of all 4 sides of cuboidArea of rectangle = 4 x length x breadthArea of rectangle = 4 x 10 x 5Area of rectangle = 200Step 2: Calculate bottom of cuboidArea = length x breadth Area = 10 x 10Area = 100Step 3: Calculate slant height of pyramidc² = a² + b²c² is hypotenusea² is the base which is half of w (10/2 = 5)b² is y which is 6c² = a² + b²c² = 5² + 6²c = √61Step 4: Calculate area of one face of the pyramidArea of triangle = 1/2 x base x heightArea of triangle = 1/2 x 10 x √61Area of triangle = 5√61Step 5: Calculate areas of all 4 faces of the pyramid 4 x 5√61 = 20√61Step 6: Calculate the total surface areaTotal surface area = 200 + 100 + 20√61Total surface area = 456.2The surface area of the figure is 456.2 units²Option D is correct.!!