Question

use unit cubes to find the volume of the rectangular prism.
complete the sentence.
there are blank cubes in each layer
and ? layers.

Explanation:

Step1: Count cubes per layer

The base of the prism (each layer) has a length of 6 and width of 4. So cubes per layer: \(6\times4 = 24\).

Step2: Count number of layers

The height (layers) is 3 (visually, how many rows of cubes stacked vertically). Wait, but first, for "cubes in each layer": length 6, width 4, so \(6\times4 = 24\). Layers: height is 3? Wait, no, looking at the prism: the front face has 4 columns (width) and 3 rows (height)? Wait, no, the layer (base) is length 6, width 4. So each layer: 64=24. Then layers: looking at the depth? Wait, the prism's dimensions: length 6, width 4, height 3? Wait, no, the figure: the top layer has 6 (length) and 4 (width)? Wait, the grid on top: 6 columns (length) and 4 rows (width)? So 64=24 cubes per layer. Then how many layers? The height (vertical layers) is 3? Wait, no, the side: the front has 3 rows (height) of cubes? Wait, the prism is 6 (length) x 4 (width) x 3 (height)? Wait, no, the figure shows that in each layer (horizontal), it's 6 by 4, and there are 3 layers? Wait, no, the vertical stacks: each column has 3 cubes? Wait, no, the problem first asks "cubes in each layer". So layer is a horizontal slice. So length 6, width 4: 64=24. Then layers: the number of horizontal slices, which is the height. Looking at the prism, the height (vertical) is 3? Wait, no, the side view: each column has 3 cubes? Wait, no, the figure: the front face has 4 columns (width) and 3 rows (height)? Wait, maybe I misread. Wait, the top layer: 6 (length) and 4 (width) → 64=24. Then layers: the number of vertical layers (height) is 3? Wait, no, the depth? Wait, the prism's dimensions: length 6, width 4, height 3? Wait, no, the figure: the front has 4 (width) and 3 (height)? No, the layer (each horizontal layer) is length 6, width 4. So cubes per layer: 64=24. Then layers: how many times you stack these layers. The vertical height (number of layers) is 3? Wait, no, the side: the number of vertical stacks is 3? Wait, maybe the height is 3. But first, for "cubes in each layer": 64=24. So the first blank (cubes in each layer) is 24. Layers: let's check the figure again. The prism has a height (vertical) of 3? Wait, no, the front face: the number of vertical rows (layers) is 3? Wait, maybe the layers are 3? But the problem first asks "cubes in each layer": 24. So the first blank is 24.

Answer:

24 (for cubes in each layer), and layers: 3 (but the question first asks "cubes in each layer" so the answer for that blank is 24.