Question

@MelissaHolmes @tanya123

Answer 1

Question 1 (Essay Worth 4 points)

What is the surface area of this three-dimensional, symmetrical, capital letter “I” block? Show your work.
A solid composite figure in the shape of a capital “I” is shown. The length of the entire letter is 5 centimeters. The width is 2 centimeters. The height of the cross pieces at the top and the bottom is 2 centimeters. The length of the middle of the I is 2 centimeters long. Each distance from the outside edge of the middle piece to the outside edge of the top and bottom cross pieces is 2 centimeters.




Question 2 (Essay Worth 4 points)

How can this three-dimensional, symmetrical, capital letter "I" block be broken into pieces so that it results in the smallest number of parts? Describe each part with measurements.

pictured is a solid composite figure in the shape of a capital I. The length of the entire letter is 5 centimeters. The width is 2 centimeters. The height of the cross pieces at the top and the bottom is 2 centimeters. The length of the middle of the I is 2 centimeters long. Each distance from the outside edge of the middle piece to the outside edge of the top and bottom cross pieces is 2 centimeters.




Question 3 (Multiple Choice Worth 2 points)

Which of the following is a false statement?

There is only one way to calculate the surface area of a composite figure.

There is only one correct answer for the surface area of a composite figure.

There is more than one way to calculate the surface area of a composite figure.

The surface area of a composite figure is measured in square units.

Question 4 (Multiple Choice Worth 2 points)

Which formula would be used to determine the surface area of this pencil? (Hint: This is a composite figure of two shapes)

a pencil that comes to a point at the end is shown.

The quantity 2 times pi times radius squared plus 2 times pi times radius times height, end quantity, plus the quantity pi times radius squared plus pi times radius slant height, end quantity minus two times quantity pi times radius squared, end quantity

The quantity 2 times pi times radius squared plus 2 times pi times radius times height, end quantity, plus the quantity pi times radius squared plus pi times radius slant height

The quantity pi times radius squared plus 2 times pi times radius times height , end quantity, plus the quantity 2 times pi times slant height

The quantity 2 times pi times radius squared plus 2 times pi times radius times height, end quantity, minus the quantity pi times radius squared, end quantity, plus the quantity pi times radius squared plus 2 times pi times slant height, end quantity, minus the quantity pi times radius squared

Question 5 (Multiple Choice Worth 2 points)

What is the name given to the faces that are hidden inside a composite figure?

exterior faces

interior faces

solid areas

surfaces

Question 6 (Multiple Choice Worth 2 points)

Pictured here is a sharpened pencil. If we think of it as a composite solid made up of a cylinder and a cone, how many interior faces does it have?

Pictured is a pencil that comes to a point at the end.

1

2

3

4

Question 7 (Multiple Choice Worth 2 points)

Mr. Rasmussen laid 9 bricks in a row to make a walking path through his garden. If each brick has a length of 8 inches, a width of 3 point five inches, and a height of 3 inches, what is the surface area of the walkway?

9 bricks are shown laying side-by-side to form a line. The dimensions of each brick are shown

eighty-four square inches

six hundred seventy-seven square inches

seven hundred forty-one square inches

seven hundred fifty-six square inches

Question 8 (Multiple Choice Worth 2 points)

What is the approximate surface area of this pencil? (Use 3 point one four for pi. Round your answer to the nearest whole number.)

A pencil that comes to a point at the end is shown. The part of the pencil that does not come to a point is fifteen centimeters long. The diameter is zero point six centimeters. The top of the pencil, which comes to a point, has a slant height of 2 centimeters.

twenty-eight square centimeters

41 cm2

30 cm2

seventy square centimeters

Question 9 (Multiple Choice Worth 2 points)

What is the total area of the interior faces of this composite solid?

The figure consists of 2 solid shapes that resemble bricks connected at one corner, forming a right angle there. One shape has a length of 8 meters, a width of 7 meters, and a height of 7 meters. The other shape has a length of 7 meters, a width of 8 meters, and a height of 7 meters. Filling the corner formed by the right angle is a three-sided figure whose vertex fits into the right angle. The base of this figure is straight and connects the other 2 vertices of the bricks, which are at the outside of the right angle.

49 sq m

196 sq m

98 sq m

147 sq m

Question 10 (Multiple Choice Worth 2 points)

Which most accurately describes the shape of the interior faces of this composite solid?

The figure consists of 2 solid shapes that resemble bricks connected at one corner, forming a right angle there. One shape has a length of 8 meters, a width of 7 meters, and a height of 7 meters. The other shape has a length of 7 meters, a width of 8 meters, and a height of 7 meters. Filling the corner formed by the right angle is a three-sided figure whose vertex fits into the right angle. The base of this figure is straight and connects the other 2 vertices of the bricks, which are at the outside of the right angle.

rectangles

squares

trapezoids

triangles

Answer 2

sorry a couple of my brain cells just DIED reading that!

Answer 3

haha

Answer 4

This would probably get more answers if it were posted in math rather than english.

Answer 5

@Batlehro13

Answer 6

ikr @SummerNS

Answer 7

@v.rose_fan haah

Answer 8

@vlltimelow