Question

One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side length. which statements about the two rectangular solids are true? check all that apply.

Answer 1

The correct statements about the solids are:

• (A) The bases are congruent.
• (D)The volume of the first solid is twice as much as the volume of the second solid.
• (E) If the dimensions of the second solid are x by x by h, the first solid has 4xh more.

What are solids?

• Solid geometry or stereometry is the standard name for the geometry of three-dimensional Euclidean spaces in mathematics.
• Stereometry is concerned with the volume measurements of various solid forms, such as pyramids, prisms, and other polyhedrons; cylinders; cones; truncated cones, and balls bordered by spheres.

To find which statements are correct:

Congruent base: This is used to indicate that the triangles' bases are the same and that they have the same shape.

The volume of the first triangle is: $2x^{2} h$

The volume of the second triangle is: $x^{2} h$

Therefore, the correct statements about the solids are:

• (A) The bases are congruent.
• (D)The volume of the first solid is twice as much as the volume of the second solid.
• (E) If the dimensions of the second solid are x by x by h, the first solid has 4xh more.

Know more about solids here:

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The complete question is given below:
One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side length. Which statements about the two rectangular solids are true? Check all that apply.

A) The bases are congruent.

B) The solids are similar.

C) The ratio of the volumes of the first solid to the second solid is 8:1.

D)The volume of the first solid is twice as much as the volume of the second solid.

E) If the dimensions of the second solid are x by x by h, the first solid has 4xh more

surface area than the second solid.