Question

question 7
multiple answer 1 point
a prism has a height of 4 inches and a volume of 420 cubic inches. solve all figures that could be the base for this prism
question 5
matching 1 point
each set of two - dimensional shapes is the complete list of faces from a particular solid. match each set of shapes with the solid they came from.
a. two congruent triangles and three rectangles
b. four triangles and one rectangle
c. two squares and four congruent parallelograms
d. four congruent, equilateral triangles
i. right triangular prism
ii. oblique square prism
iii. right triangular pyramid
iv. rectangular pyramid

Explanation:

• For option a: A right triangular prism has two congruent triangular bases (the two congruent triangles) and three rectangular lateral faces (the three rectangles).
• For option b: A rectangular pyramid has a rectangular base and four triangular lateral faces.
• For option c: An oblique square prism has two square bases and four congruent parallelogram - shaped lateral faces (since in an oblique prism, the lateral faces are parallelograms).
• For option d: A right triangular pyramid (also known as a tetrahedron when the triangles are equilateral) has four congruent equilateral triangles as its faces.

Answer:

a. Two congruent triangles and three rectangles - i. Right triangular prism
b. Four triangles and one rectangle - iv. Rectangular pyramid
c. Two squares and four congruent parallelograms - ii. Oblique square prism
d. Four congruent, equilateral triangles - iii. Right triangular pyramid