I have a few questions I am confused on.
#4. Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. The figure is not drawn to scale.
A. 795 m^2; 809 m^2
B. 758 m^2; 849 m^2
C. 795 m^2; 822m^2
D. 758 m^2; 822 m^2
what is the given prism? The formulas are pretty straightforward to use.
What do you mean?
To find the lateral area and surface area of a prism, we need to use the following formulas:
Lateral Area = perimeter of the base × height
Surface Area = 2 × area of the base + lateral area
Since we don't have the specific dimensions of the prism (length, width, and height), we can't find the exact values. However, we can still compare the given options to determine which ones are possible.
Let's analyze the options one by one.
Option A: 795 m^2 for the lateral area and 809 m^2 for the surface area.
Option B: 758 m^2 for the lateral area and 849 m^2 for the surface area.
Option C: 795 m^2 for the lateral area and 822 m^2 for the surface area.
Option D: 758 m^2 for the lateral area and 822 m^2 for the surface area.
To determine which options are possible, we can compare the values given for the lateral area and surface area within each option.
Looking at the lateral area values:
Option B and Option D have the same value (758 m^2), so they are both possible.
Looking at the surface area values:
Option C and Option D have the same value (822 m^2), so they are both possible.
So, based on the given options, the possible combinations for the lateral area and surface area are:
Option B: Lateral Area = 758 m^2, Surface Area = 849 m^2
Option D: Lateral Area = 758 m^2, Surface Area = 822 m^2
Therefore, the correct answer is B. 758 m^2 for the lateral area and 849 m^2 for the surface area.
To find the lateral area and surface area of a prism, we need to know the formulas and dimensions of the prism. The lateral area of a prism can be found using the formula:
Lateral Area = Perimeter of the base * Height of the prism
The surface area of a prism can be found using the formula:
Surface Area = 2 * Base Area + Lateral Area
Given that the figure is not drawn to scale, we can assume that the base of the prism is a rectangle. Let's consider the given options and calculate the lateral area and surface area for each one.
Option A: Lateral Area = 795 m^2; Surface Area = 809 m^2
Option B: Lateral Area = 758 m^2; Surface Area = 849 m^2
Option C: Lateral Area = 795 m^2; Surface Area = 822 m^2
Option D: Lateral Area = 758 m^2; Surface Area = 822 m^2
We can determine the correct answer by using the formulas and matching the calculated values with the given options.
Unfortunately, we don't have enough information about the dimensions of the prism to calculate the lateral area and surface area. If you have any additional information or details about the prism, please provide them so that we can assist you further.