In the given solid triangular prism,if AB=3cm,AC=4cm,Bc=5 and the area of the rectangular surfaces is 240sq.cm,find the measurement of cc."
cc = 0
20cm
To find the measurement of CC, we first need to determine the height of the triangular prism.
1. Since AB, AC, and BC form the base of the triangular prism, we can use the formula for the area of a triangle:
Area = (1/2) * base * height
2. To find the height, we need to calculate the area of the triangular base. Let's label the height of the triangular base as h.
240 sq.cm = (1/2) * 4 cm * h
480 sq.cm = 4 cm * h
h = 480 sq.cm / 4 cm
h = 120 cm
3. Now that we have the height of the triangular base, we can determine CC.
CC is the height of the triangular prism, which is the same as the height of the triangular base.
CC = h = 120 cm
Therefore, the measurement of CC is 120 cm.
To find the measurement of CC, we can use the given information and apply the concepts of geometry. Let's break down the solution into steps:
Step 1: Understand the problem.
We are given a solid triangular prism with three sides, AB, AC, and BC. The rectangular surfaces have a total area of 240 sq.cm.
Step 2: Identify the face of the triangular prism.
To find CC, we need to identify the face of the prism that contains this measurement. In this case, CC is the height of the triangular face opposite side BC.
Step 3: Calculate the area of the triangular face.
Since the given information only mentions the rectangular surfaces' area, we need to find the area of the triangular face by subtracting the total area of the rectangular surfaces from the total surface area of the prism.
The total surface area of the prism consists of two triangular faces and three rectangular faces. Each triangular face has an area of (base x height) / 2, and each rectangular face has an area of length x width.
Given:
Area of rectangular surfaces = 240 sq.cm.
Total surface area of the prism:
Area of triangular faces = total surface area - 3 * area of rectangular faces
Step 4: Calculate the base and height of the triangular face.
We know that AB = 3 cm, AC = 4 cm, and BC = 5 cm. Using these values, we can calculate the base and height of the triangular face.
Step 5: Calculate the CC measurement.
Finally, we can calculate the CC measurement by using the formula for the area of a triangle (base x height) / 2 and substituting the values we found in step 4.
By following these steps, we can find the measurement of CC in the given solid triangular prism.