Question

A slice is made perpendicular to the base of a right rectangular pyramid as shown.

What is the area of the resulting two-dimensional cross section?

Enter you answer in the box.


cm²

Answer 1

Answer:  The answer is 110 cm².

Step-by-step explanation:  Given that a slice is made perpendicular to a right rectangular pyramid as given in the figure provided. We need to find the area of the resulting cross-section.

As shown in the attached figure, the resulting cross-section is a triangle ABC, where BC is the base and AD is the height of ΔABC.

Also, from the figure attached, we have,

AD = 22 cm and BC = 10 cm.

Therefore, area of ΔABC is given by

$A=\dfrac{1}{2}\times AD\times BC=\dfrac{1}{2}\times 22\times10=110.$

Thus, the answer is 110 cm².

Answer 2

Answer:

The area of the resulting two dimension cross section is 110 cm²

Step-by-step explanation:

Two cross sections are shaded region that is triangle as shown in diagram.

Area of two cross section should be same because it cut by single plane.

We have to find the area of triangle using formula of area of triangle.

Formula, Area of triangle $=\frac{1}{2}\times base\times height$

Base of cross section = 10 cm

Height of cross section = 22 cm

Area of cross section $=\frac{1}{2}\times 10\times 22\Rightarrow 110\text{ cm}^2$

Hence, The area of the resulting two dimension cross section is 110 cm²