Question

Gio is studying the rectangular pyramid below. A rectangular pyramid. The rectangular base has a length of 9.6 millimeters and width of 4.2 millimeters. 2 triangular sides have a base of 9.6 millimeters and height of 4.8 millimeters. 2 triangular sides have a base of 4.2 millimeters and height of 6.5 millimeters. He believes the surface area, in square millimeters, can be found by simplifying this expression. (4.2) (9.6) + one-half (4.2) (6.5) + one-half (9.6) (4.8) What error is Gio making? He used the wrong values as the bases of the lateral faces. He used the wrong expression to represent the area of the base of the pyramid. He used two different values as the heights of the lateral faces. He used an expression for surface area that did not include all the faces.

Answer 1

Answer

D

Explanation:

I got it right on the test

Answer 2

The error is: He used an expression for surface area that did not include all the faces.

What is a rectangular pyramid?

"It is a pyramid having a rectangular base."

What is surface area?

"The surface area of a geometrical structure is the sum of all its surfaces."

For given example,

He derived an expression to find the surface area of the rectangular prism is : (4.2) (9.6) + one-half (4.2) (6.5) + one-half (9.6) (4.8)

The rectangular base has a length of 9.6 millimeters and width of 4.2 millimeters.

So, the surface area of the base would be,

(9.6) × (4.2)                              ................................(1)

2 triangular sides have a base of 9.6 millimeters and height of 4.8 millimeters.

The area of the one triangular side with a base of 9.6 millimeters and height of 4.8 millimeters would be,

1/2 × 9.6 × 4.8

So, the area of two triangular sides would be,

(1/2 × 9.6 × 4.8) + (1/2 × 9.6 × 4.8)                    .....................(2)

2 triangular sides have a base of 4.2 millimeters and height of 6.5 millimeters.

The area of the one triangular side with a base of 4.2 millimeters and height of 6.5 millimeters would be,

1/2 × 4.2 × 6.5

So, the area of two triangular sides would be,

(1/2 × 4.2 × 6.5) + (1/2 × 4.2 × 6.5)                    .....................(3)

From (1), (2) and (3),

The expression to find the total surface area of rectangular prism should be,

(9.6) × (4.2) + (1/2 × 9.6 × 4.8) + (1/2 × 9.6 × 4.8) + (1/2 × 4.2 × 6.5) + (1/2 × 4.2 × 6.5)

This means, he used an expression for surface area that did not include all the faces.

Find more about rectangular prism here:

https://brainly.com/question/14987814

#SPJ2