Surface Area Unit Test

Question

8 of 168 of 16 Items

Question
Use the image to answer the question.

An illustration shows a 3 D triangular prism with the triangular face as a right triangle. The edges that are not visible are represented by dashed lines. The length and base of the triangular prism measures 30.5 centimeters and 27.9 centimeters. The perpendicular side of the triangular face measures 5.1 centimeter and the hypotenuse measures 28.4 centimeter.

A toy came in a container that is shaped like a triangular prism. How much wrapping paper is needed to wrap the toy? Round your answer to the nearest whole number.

(1 point)
S.A. =
cm2

Answer 1

To find the surface area of the triangular prism container, we need to find the area of each face and add them all together.

First, we find the area of the triangular face:
Area = 1/2 * base * height
Area = 1/2 * 27.9 cm * 5.1 cm
Area = 71.145 cm2

Since there are two triangular faces, the total area of the triangular faces is 2 * 71.145 cm2 = 142.29 cm2

Next, we find the area of the rectangular face:
Area = length * height
Area = 30.5 cm * 5.1 cm
Area = 155.55 cm2

Since there are three rectangular faces, the total area of the rectangular faces is 3 * 155.55 cm2 = 466.65 cm2

Finally, we add the areas of the triangular faces and the rectangular faces:
Total surface area = 142.29 cm2 + 466.65 cm2 = 608.94 cm2

Therefore, approximately 609 cm2 of wrapping paper is needed to wrap the toy.

Answer 2

Question
What is the shape of the base of a rectangular pyramid?(1 point)
Responses

pyramid
pyramid

rectangle
rectangle

triangle
triangle

vertex

Answer 3

rectangle

Answer 4

Surface Area Unit Test
10 of 1610 of 16 Items

Question
Use the image to answer the question.

An illustration shows a slide slice where a triangular plane with a square frame is inserted into a 3 D pyramid through one of the edges. The plane is positioned till the apex is reached and the middle triangular portion of the pyramid is highlighted.

What two-dimensional shape is created by slicing a right rectangular pyramid perpendicular to the base?

(1 point)
Responses

rectangle
rectangle

triangle
triangle

trapezoid
trapezoid

square

Answer 5

rectangle