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B.)a triangular pyramid when sliced perpendicular to its base
C.)a triangular prism when sliced parallel to its base
D.)a triangular prism when sliced perpendicular to its base
A triangular prism when sliced parallel to its base will always yields a cross section that is the same shape and size as the base of the figure, i.e. option (C).
Triangle is a two dimensional shape having three side and sum of all angles is equals to .
We have,
A Triangle
So,
According to question,
Now,
When we will slice triangle,
We get two triangles,
Now,
The two triangles at each end of the triangular prism are parallel and congruent to each other.
i.e.
Their corresponding angles are equal.
Their corresponding sides are equal.
So,
They will have the same cross-section.
Hence, we can say that if a triangular prism when sliced parallel to its base will always yields a cross section that is the same shape and size as the base of the figure, i.e. option (C).
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Answer:
Cube 1: 3375 cubed inches, 1350 inches squared.
Cube 2: 512 cubed inches, 384 inches squared.
Step-by-step explanation:
Formula for Volume of a Cube: (s - side length)
Formula for Surface Area of a Cube: (s- side length)
The side length's 15 inches.
Find the volume:
The volume of cube one is 3375in³.
Find the surface area:
The surface area of cube 1 is 1350in².
The side length's 8 inches.
Find the volume:
The volume of cube two is 512in³.
Find the surface area:
The surface area of cube 2 is 384in².
Brainilest Appreciated.
The surface area of a cube with side lengths of 15 inches is 1350 square inches and its volume is 3375 cubic inches.
To find the surface area of a cube, you need to find the area of each face and then add them up. In this case, since all sides of the cube have the same length, you can use the formula: surface area = 6 * . For a cube with side lengths of 15 inches, the surface area would be 6 * = 6 * 225 square inches = 1350 square inches.
To find the volume of a cube, you need to multiply the length, width, and height. In this case, since all sides of the cube have the same length, you can use the formula: volume = . For a cube with side lengths of 15 inches, the volume would be= 3375 cubic inches.
Now, for a cube of side length 8 inches: for the surface area using the first formula, we get 6*(8 inches)² = 384 square inches. Using the volume formula, we get (8 inches)³ = 512 cubic inches.
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