Evelyn cut a wedge of cheese into the shape of a triangular prism like the one shown below. The shaded part represents one of the bases of the prism.
A formula for the volume of a triangular prism is V = Bh. Which equation can be used to find B, the area of the shaded base in square centimeters?
no idea, since there is no figure.
But surely the shaded area is a figure you are familiar with, and can determine its area. If not, there's always google.
4cm 5cm 6cm thx for trying.
1-10
A
A
D
B
A
A
B
B
C
C
Thanks someone these are all correct!
No problem I never lie:)
they were wrong:/
To find the area of the shaded base in square centimeters, we need to determine the formula for the area of a triangular base.
A triangular prism has two congruent triangular bases. Let's assume the base of the prism is an isosceles triangle. Since it is an isosceles triangle, we can split it into two right-angled triangles.
The area of a triangle can be calculated using the formula A = (base × height) / 2.
Let's call one of the right-angled triangles formed by splitting the isosceles triangle as triangle A. In triangle A, the base will be given by the length of one of the equal sides of the isosceles triangle, and the height will be the perpendicular distance from the base to the vertex opposite the base.
Let's call the length of the equal sides of the triangle as s, and the height of triangle A as h.
So, the area of triangle A, which represents the shaded base of the prism, would be A = (s × h) / 2.
Hence, the formula to find the area of the shaded base in square centimeters can be written as B = (s × h) / 2, where B represents the area of the base, s represents the length of one of the equal sides of the triangle, and h represents the height of the triangular base.