Question

Two rectangular pyramids were joined at their bases to form the composite figure. One pyramid has 2 triangular sides with a base of 15 centimeters and height of 16.4 centimeters, and 2 triangular sides have a base of 10 centimeters and height of 17.3 centimeters. The other pyramid has 2 triangular sides with a base of 15 centimeters and height of 23.8 centimeters, and 2 triangular sides with a base of 10 centimeters and height of 24.4 centimeters. What is the surface area of the figure? 1,020 cm2 1,175 cm2 1,325 cm2 2,050 cm2

Answer 1

A) 1020 cm²

Explanation:

8 sides

2[(½×15×16.4) + (½×10×17.3) + (½×15÷23.8) + (½×10×24.2)]

2(510)

1020 cm²

Answer 2

1020 cm²

Explanation:

A = 2×15×16.4/2 + 2×10×17.3/2 + 2×15×23.8/2 + 2×10×24.4/2

= 15×16.4 + 10×17.3 + 15×23.8 + 10×24.4

= 246 + 173 + 357 + 244

= 1020 cm²