Question

pre-algebra ic sem 2 fall 2025
two - and three - dimensional
geometry
01:51:32
m
which correctly describes the dimensions of the figures that make up the container and its
lid?
a rectangular prism
a rectangular prism
measuring 4 cm by 5
measuring 2 cm by 4
cm by 8 cm and a
cm by 8 cm and a
rectangular pyramid
rectangular pyramid
with the dimensions of
with the dimensions of
2 cm by 4 cm by 8 cm
4 cm by 5 cm by 8 cm
a rectangular prism
a rectangular prism
measuring 4 cm by 5
measuring 2 cm by 5
cm by 8 cm and a
cm by 8 cm and a
rectangular pyramid
rectangular pyramid
with the dimensions of
with the dimensions of
2 cm by 5 cm by 8 cm
4 cm by 5 cm by 8 cm

Explanation:

Step1: Identify the rectangular prism

The lower part of the figure is a rectangular prism. The dimensions of a rectangular prism are length, width, and height. From the figure, the length is \(8\) cm, the width is \(4\) cm, and the height is \(5\) cm. So the rectangular prism measures \(4\) cm by \(5\) cm by \(8\) cm.

Step2: Identify the rectangular pyramid

The upper - part (lid) is a rectangular pyramid. The base of the rectangular pyramid has the same length and width as the top - face of the rectangular prism (since it sits on top of the prism). The height of the pyramid is given as \(2\) cm. So the rectangular pyramid has dimensions \(2\) cm (height) by \(4\) cm (width) by \(8\) cm (length).

Answer:

a rectangular prism measuring \(4\) cm by \(5\) cm by \(8\) cm and a rectangular pyramid with the dimensions of \(2\) cm by \(4\) cm by \(8\) cm