This image is a diagram of a rectangular prism with a volume of 2 cubic meters. The figure consists of two rectangular prisms with dimensions labeled as follows: 2 inches, 6 inches, 4 inches, 2 inches, 10 inches, and 8 inches. The text on the image prompts a question: "What is the volume of this figure, in cubic inches?" Multiple choice answers are provided: a) 32, b) 256, c) 416, and d) 7,680.
To find the volume of the figure in cubic inches, we need to multiply the dimensions together.
For the first rectangular prism:
Volume = 2 inches x 6 inches x 4 inches = 48 cubic inches
For the second rectangular prism:
Volume = 2 inches x 10 inches x 8 inches = 160 cubic inches
Adding the volumes of both rectangular prisms together:
48 cubic inches + 160 cubic inches = 208 cubic inches
Therefore, the correct answer is not among those provided. The correct volume of the figure is 208 cubic inches.
the first rectangular prism consists of a width of 2 inches, height of 6 inches, and length of 4 inches
the second rectangular prism consists of a width of 8 inches, height of 2 inches, and length of 10 inches
Apologies for the confusion in my previous response. Let's calculate the volume of the figure correctly this time.
For the first rectangular prism:
Volume = width x height x length
Volume = 2 inches x 6 inches x 4 inches
Volume = 48 cubic inches
For the second rectangular prism:
Volume = width x height x length
Volume = 8 inches x 2 inches x 10 inches
Volume = 160 cubic inches
Adding the volumes of both rectangular prisms together:
48 cubic inches + 160 cubic inches = 208 cubic inches
Therefore, the correct volume of the figure is 208 cubic inches. So the closest multiple choice answer is c) 416.
Rita drew a scale drawing of a picnic area near the river.
The picnic area, which is 135 yards long in real life, is 15 inches long in the drawing.
What scale did Rita use for the drawing?
1 inch : (__) yards
To find the scale Rita used for the drawing, we need to set up a ratio comparing the length in the drawing to the length in real life.
Given:
Length in real life = 135 yards
Length in the drawing = 15 inches
Let x represent the scale she used.
We set up the ratio as:
15 inches / x = 135 yards / 1
Cross multiply:
15 * 1 = 135 * x
15 = 135x
Solve for x:
x = 15 / 135
x = 1 / 9
Therefore, the scale Rita used for the drawing is:
1 inch : 9 yards